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Finding the Third Proportional to 63,221,488,101 and 136,519,384,959

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Solution

The third proportional to 63,221,488,101 and 136,519,384,959 is: 294,797,592,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,221,488,101 : 136,519,384,959 = 136,519,384,959 : x
  2. Step 2: Convert to fraction form
    63,221,488,101/136,519,384,959 = 136,519,384,959/x
  3. Step 3: Cross multiply
    63,221,488,101x = 136,519,384,959 × 136,519,384,959
  4. Step 4: Simplify right side
    63,221,488,101x = 18,637,542,469,583,635,480,576
  5. Step 5: Solve for x
    x = 18,637,542,469,583,635,480,576/63,221,488,101
  6. Step 6: Final answer
    x = 294,797,592,233.34

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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.