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Finding the Third Proportional to 5,229,270,439 and 11,204,564,959

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Solution

The third proportional to 5,229,270,439 and 11,204,564,959 is: 24,007,608,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,270,439 : 11,204,564,959 = 11,204,564,959 : x
  2. Step 2: Convert to fraction form
    5,229,270,439/11,204,564,959 = 11,204,564,959/x
  3. Step 3: Cross multiply
    5,229,270,439x = 11,204,564,959 × 11,204,564,959
  4. Step 4: Simplify right side
    5,229,270,439x = 125,542,275,920,450,666,496
  5. Step 5: Solve for x
    x = 125,542,275,920,450,666,496/5,229,270,439
  6. Step 6: Final answer
    x = 24,007,608,209.39

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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.