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Finding the Third Proportional to 38,489,472 and 83,754,642

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Solution

The third proportional to 38,489,472 and 83,754,642 is: 182,253,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489,472 : 83,754,642 = 83,754,642 : x
  2. Step 2: Convert to fraction form
    38,489,472/83,754,642 = 83,754,642/x
  3. Step 3: Cross multiply
    38,489,472x = 83,754,642 × 83,754,642
  4. Step 4: Simplify right side
    38,489,472x = 7,014,840,056,548,164
  5. Step 5: Solve for x
    x = 7,014,840,056,548,164/38,489,472
  6. Step 6: Final answer
    x = 182,253,475.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.