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Finding the Third Proportional to 234,633,626 and 354,970,359

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Solution

The third proportional to 234,633,626 and 354,970,359 is: 537,024,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,633,626 : 354,970,359 = 354,970,359 : x
  2. Step 2: Convert to fraction form
    234,633,626/354,970,359 = 354,970,359/x
  3. Step 3: Cross multiply
    234,633,626x = 354,970,359 × 354,970,359
  4. Step 4: Simplify right side
    234,633,626x = 126,003,955,768,588,880
  5. Step 5: Solve for x
    x = 126,003,955,768,588,880/234,633,626
  6. Step 6: Final answer
    x = 537,024,287.25

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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.