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Finding the Third Proportional to 4,274,372,598 and 6,538,681,953

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Solution

The third proportional to 4,274,372,598 and 6,538,681,953 is: 10,002,488,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274,372,598 : 6,538,681,953 = 6,538,681,953 : x
  2. Step 2: Convert to fraction form
    4,274,372,598/6,538,681,953 = 6,538,681,953/x
  3. Step 3: Cross multiply
    4,274,372,598x = 6,538,681,953 × 6,538,681,953
  4. Step 4: Simplify right side
    4,274,372,598x = 42,754,361,682,487,894,016
  5. Step 5: Solve for x
    x = 42,754,361,682,487,894,016/4,274,372,598
  6. Step 6: Final answer
    x = 10,002,488,248.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.