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Finding the Third Proportional to 2,695,062,735,805.50 and 5,992,703,038,066.50

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Solution

The third proportional to 2,695,062,735,805.50 and 5,992,703,038,066.50 is: 13,325,288,953,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695,062,735,805.50 : 5,992,703,038,066.50 = 5,992,703,038,066.50 : x
  2. Step 2: Convert to fraction form
    2,695,062,735,805.50/5,992,703,038,066.50 = 5,992,703,038,066.50/x
  3. Step 3: Cross multiply
    2,695,062,735,805.50x = 5,992,703,038,066.50 × 5,992,703,038,066.50
  4. Step 4: Simplify right side
    2,695,062,735,805.50x = 35,912,489,702,451,458,183,528,448
  5. Step 5: Solve for x
    x = 35,912,489,702,451,458,183,528,448/2,695,062,735,805.50
  6. Step 6: Final answer
    x = 13,325,288,953,512.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.