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Finding the Third Proportional to 2,724,806,623.50 and 5,965,464,987

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Solution

The third proportional to 2,724,806,623.50 and 5,965,464,987 is: 13,060,292,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,806,623.50 : 5,965,464,987 = 5,965,464,987 : x
  2. Step 2: Convert to fraction form
    2,724,806,623.50/5,965,464,987 = 5,965,464,987/x
  3. Step 3: Cross multiply
    2,724,806,623.50x = 5,965,464,987 × 5,965,464,987
  4. Step 4: Simplify right side
    2,724,806,623.50x = 35,586,772,511,122,911,232
  5. Step 5: Solve for x
    x = 35,586,772,511,122,911,232/2,724,806,623.50
  6. Step 6: Final answer
    x = 13,060,292,867.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.