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Finding the Third Proportional to 234,366,214 and 495,304,424

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Solution

The third proportional to 234,366,214 and 495,304,424 is: 1,046,765,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,366,214 : 495,304,424 = 495,304,424 : x
  2. Step 2: Convert to fraction form
    234,366,214/495,304,424 = 495,304,424/x
  3. Step 3: Cross multiply
    234,366,214x = 495,304,424 × 495,304,424
  4. Step 4: Simplify right side
    234,366,214x = 245,326,472,433,971,776
  5. Step 5: Solve for x
    x = 245,326,472,433,971,776/234,366,214
  6. Step 6: Final answer
    x = 1,046,765,522.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.