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Finding the Third Proportional to 47,781,822 and 73,785,057

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Solution

The third proportional to 47,781,822 and 73,785,057 is: 113,939,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781,822 : 73,785,057 = 73,785,057 : x
  2. Step 2: Convert to fraction form
    47,781,822/73,785,057 = 73,785,057/x
  3. Step 3: Cross multiply
    47,781,822x = 73,785,057 × 73,785,057
  4. Step 4: Simplify right side
    47,781,822x = 5,444,234,636,493,249
  5. Step 5: Solve for x
    x = 5,444,234,636,493,249/47,781,822
  6. Step 6: Final answer
    x = 113,939,452.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.