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Finding the Third Proportional to 234,633,632 and 354,970,366

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Solution

The third proportional to 234,633,632 and 354,970,366 is: 537,024,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,633,632 : 354,970,366 = 354,970,366 : x
  2. Step 2: Convert to fraction form
    234,633,632/354,970,366 = 354,970,366/x
  3. Step 3: Cross multiply
    234,633,632x = 354,970,366 × 354,970,366
  4. Step 4: Simplify right side
    234,633,632x = 126,003,960,738,173,952
  5. Step 5: Solve for x
    x = 126,003,960,738,173,952/234,633,632
  6. Step 6: Final answer
    x = 537,024,294.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.