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Finding the Third Proportional to 11,129,012,667 and 24,001,368,327

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Solution

The third proportional to 11,129,012,667 and 24,001,368,327 is: 51,762,514,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129,012,667 : 24,001,368,327 = 24,001,368,327 : x
  2. Step 2: Convert to fraction form
    11,129,012,667/24,001,368,327 = 24,001,368,327/x
  3. Step 3: Cross multiply
    11,129,012,667x = 24,001,368,327 × 24,001,368,327
  4. Step 4: Simplify right side
    11,129,012,667x = 576,065,681,568,318,750,720
  5. Step 5: Solve for x
    x = 576,065,681,568,318,750,720/11,129,012,667
  6. Step 6: Final answer
    x = 51,762,514,681.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.