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Finding the Third Proportional to 63,113,451,092 and 138,849,438,768

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Solution

The third proportional to 63,113,451,092 and 138,849,438,768 is: 305,468,427,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,113,451,092 : 138,849,438,768 = 138,849,438,768 : x
  2. Step 2: Convert to fraction form
    63,113,451,092/138,849,438,768 = 138,849,438,768/x
  3. Step 3: Cross multiply
    63,113,451,092x = 138,849,438,768 × 138,849,438,768
  4. Step 4: Simplify right side
    63,113,451,092x = 19,279,166,646,188,582,633,472
  5. Step 5: Solve for x
    x = 19,279,166,646,188,582,633,472/63,113,451,092
  6. Step 6: Final answer
    x = 305,468,427,294.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.