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Finding the Third Proportional to 4,732,902 and 6,767,469

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Solution

The third proportional to 4,732,902 and 6,767,469 is: 9,676,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,902 : 6,767,469 = 6,767,469 : x
  2. Step 2: Convert to fraction form
    4,732,902/6,767,469 = 6,767,469/x
  3. Step 3: Cross multiply
    4,732,902x = 6,767,469 × 6,767,469
  4. Step 4: Simplify right side
    4,732,902x = 45,798,636,665,961
  5. Step 5: Solve for x
    x = 45,798,636,665,961/4,732,902
  6. Step 6: Final answer
    x = 9,676,650.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.