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Finding the Third Proportional to 16,407,115.31 and 35,766,498.38

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Solution

The third proportional to 16,407,115.31 and 35,766,498.38 is: 77,968,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407,115.31 : 35,766,498.38 = 35,766,498.38 : x
  2. Step 2: Convert to fraction form
    16,407,115.31/35,766,498.38 = 35,766,498.38/x
  3. Step 3: Cross multiply
    16,407,115.31x = 35,766,498.38 × 35,766,498.38
  4. Step 4: Simplify right side
    16,407,115.31x = 1,279,242,406,008,877.75
  5. Step 5: Solve for x
    x = 1,279,242,406,008,877.75/16,407,115.31
  6. Step 6: Final answer
    x = 77,968,758.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.