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Finding the Third Proportional to 292,987,038,304 and 628,366,377,944

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Solution

The third proportional to 292,987,038,304 and 628,366,377,944 is: 1,347,651,101,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,987,038,304 : 628,366,377,944 = 628,366,377,944 : x
  2. Step 2: Convert to fraction form
    292,987,038,304/628,366,377,944 = 628,366,377,944/x
  3. Step 3: Cross multiply
    292,987,038,304x = 628,366,377,944 × 628,366,377,944
  4. Step 4: Simplify right side
    292,987,038,304x = 394,844,304,930,461,854,990,336
  5. Step 5: Solve for x
    x = 394,844,304,930,461,854,990,336/292,987,038,304
  6. Step 6: Final answer
    x = 1,347,651,101,618.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.