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Finding the Third Proportional to 63,755,217,576 and 139,520,520,624

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Solution

The third proportional to 63,755,217,576 and 139,520,520,624 is: 305,323,649,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,755,217,576 : 139,520,520,624 = 139,520,520,624 : x
  2. Step 2: Convert to fraction form
    63,755,217,576/139,520,520,624 = 139,520,520,624/x
  3. Step 3: Cross multiply
    63,755,217,576x = 139,520,520,624 × 139,520,520,624
  4. Step 4: Simplify right side
    63,755,217,576x = 19,465,975,675,192,011,128,832
  5. Step 5: Solve for x
    x = 19,465,975,675,192,011,128,832/63,755,217,576
  6. Step 6: Final answer
    x = 305,323,649,032.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.