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Finding the Third Proportional to 10,186,084.13 and 15,899,140.69

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Solution

The third proportional to 10,186,084.13 and 15,899,140.69 is: 24,816,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186,084.13 : 15,899,140.69 = 15,899,140.69 : x
  2. Step 2: Convert to fraction form
    10,186,084.13/15,899,140.69 = 15,899,140.69/x
  3. Step 3: Cross multiply
    10,186,084.13x = 15,899,140.69 × 15,899,140.69
  4. Step 4: Simplify right side
    10,186,084.13x = 252,782,674,600,917.97
  5. Step 5: Solve for x
    x = 252,782,674,600,917.97/10,186,084.13
  6. Step 6: Final answer
    x = 24,816,472.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.