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Finding the Third Proportional to 10,766,463.75 and 23,625,460.13

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Solution

The third proportional to 10,766,463.75 and 23,625,460.13 is: 51,842,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766,463.75 : 23,625,460.13 = 23,625,460.13 : x
  2. Step 2: Convert to fraction form
    10,766,463.75/23,625,460.13 = 23,625,460.13/x
  3. Step 3: Cross multiply
    10,766,463.75x = 23,625,460.13 × 23,625,460.13
  4. Step 4: Simplify right side
    10,766,463.75x = 558,162,366,117,965
  5. Step 5: Solve for x
    x = 558,162,366,117,965/10,766,463.75
  6. Step 6: Final answer
    x = 51,842,682.90

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