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Finding the Third Proportional to 42,676,944 and 93,448,704

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Solution

The third proportional to 42,676,944 and 93,448,704 is: 204,622,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676,944 : 93,448,704 = 93,448,704 : x
  2. Step 2: Convert to fraction form
    42,676,944/93,448,704 = 93,448,704/x
  3. Step 3: Cross multiply
    42,676,944x = 93,448,704 × 93,448,704
  4. Step 4: Simplify right side
    42,676,944x = 8,732,660,279,279,616
  5. Step 5: Solve for x
    x = 8,732,660,279,279,616/42,676,944
  6. Step 6: Final answer
    x = 204,622,436.87

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Why These Related Problems?

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