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Finding the Third Proportional to 15,098,546.81 and 23,086,564.31

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Solution

The third proportional to 15,098,546.81 and 23,086,564.31 is: 35,300,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098,546.81 : 23,086,564.31 = 23,086,564.31 : x
  2. Step 2: Convert to fraction form
    15,098,546.81/23,086,564.31 = 23,086,564.31/x
  3. Step 3: Cross multiply
    15,098,546.81x = 23,086,564.31 × 23,086,564.31
  4. Step 4: Simplify right side
    15,098,546.81x = 532,989,451,755,198.62
  5. Step 5: Solve for x
    x = 532,989,451,755,198.62/15,098,546.81
  6. Step 6: Final answer
    x = 35,300,711.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.