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Finding the Third Proportional to 6,403,561.50 and 9,836,653.50

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Solution

The third proportional to 6,403,561.50 and 9,836,653.50 is: 15,110,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403,561.50 : 9,836,653.50 = 9,836,653.50 : x
  2. Step 2: Convert to fraction form
    6,403,561.50/9,836,653.50 = 9,836,653.50/x
  3. Step 3: Cross multiply
    6,403,561.50x = 9,836,653.50 × 9,836,653.50
  4. Step 4: Simplify right side
    6,403,561.50x = 96,759,752,079,062.25
  5. Step 5: Solve for x
    x = 96,759,752,079,062.25/6,403,561.50
  6. Step 6: Final answer
    x = 15,110,302.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.