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Finding the Third Proportional to 37,791,369 and 82,904,814

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Solution

The third proportional to 37,791,369 and 82,904,814 is: 181,872,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791,369 : 82,904,814 = 82,904,814 : x
  2. Step 2: Convert to fraction form
    37,791,369/82,904,814 = 82,904,814/x
  3. Step 3: Cross multiply
    37,791,369x = 82,904,814 × 82,904,814
  4. Step 4: Simplify right side
    37,791,369x = 6,873,208,184,374,596
  5. Step 5: Solve for x
    x = 6,873,208,184,374,596/37,791,369
  6. Step 6: Final answer
    x = 181,872,431.89

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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.