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Finding the Third Proportional to 37,998,731.50 and 77,054,822

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Solution

The third proportional to 37,998,731.50 and 77,054,822 is: 156,253,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,998,731.50 : 77,054,822 = 77,054,822 : x
  2. Step 2: Convert to fraction form
    37,998,731.50/77,054,822 = 77,054,822/x
  3. Step 3: Cross multiply
    37,998,731.50x = 77,054,822 × 77,054,822
  4. Step 4: Simplify right side
    37,998,731.50x = 5,937,445,593,451,684
  5. Step 5: Solve for x
    x = 5,937,445,593,451,684/37,998,731.50
  6. Step 6: Final answer
    x = 156,253,784.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.