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Finding the Third Proportional to 151,834,926,874 and 326,520,488,160

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Solution

The third proportional to 151,834,926,874 and 326,520,488,160 is: 702,181,187,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,834,926,874 : 326,520,488,160 = 326,520,488,160 : x
  2. Step 2: Convert to fraction form
    151,834,926,874/326,520,488,160 = 326,520,488,160/x
  3. Step 3: Cross multiply
    151,834,926,874x = 326,520,488,160 × 326,520,488,160
  4. Step 4: Simplify right side
    151,834,926,874x = 106,615,629,188,244,705,378,304
  5. Step 5: Solve for x
    x = 106,615,629,188,244,705,378,304/151,834,926,874
  6. Step 6: Final answer
    x = 702,181,187,051.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.