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Finding the Third Proportional to 347,432,548 and 763,722,872

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Solution

The third proportional to 347,432,548 and 763,722,872 is: 1,678,808,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,432,548 : 763,722,872 = 763,722,872 : x
  2. Step 2: Convert to fraction form
    347,432,548/763,722,872 = 763,722,872/x
  3. Step 3: Cross multiply
    347,432,548x = 763,722,872 × 763,722,872
  4. Step 4: Simplify right side
    347,432,548x = 583,272,625,215,928,320
  5. Step 5: Solve for x
    x = 583,272,625,215,928,320/347,432,548
  6. Step 6: Final answer
    x = 1,678,808,242.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.