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Finding the Third Proportional to 10,806,829.31 and 16,715,242.69

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Solution

The third proportional to 10,806,829.31 and 16,715,242.69 is: 25,853,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806,829.31 : 16,715,242.69 = 16,715,242.69 : x
  2. Step 2: Convert to fraction form
    10,806,829.31/16,715,242.69 = 16,715,242.69/x
  3. Step 3: Cross multiply
    10,806,829.31x = 16,715,242.69 × 16,715,242.69
  4. Step 4: Simplify right side
    10,806,829.31x = 279,399,338,102,022.22
  5. Step 5: Solve for x
    x = 279,399,338,102,022.22/10,806,829.31
  6. Step 6: Final answer
    x = 25,853,960.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.