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Finding the Third Proportional to 60,729,332,454,720 and 92,514,863,305,800

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Solution

The third proportional to 60,729,332,454,720 and 92,514,863,305,800 is: 140,936,835,406,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,729,332,454,720 : 92,514,863,305,800 = 92,514,863,305,800 : x
  2. Step 2: Convert to fraction form
    60,729,332,454,720/92,514,863,305,800 = 92,514,863,305,800/x
  3. Step 3: Cross multiply
    60,729,332,454,720x = 92,514,863,305,800 × 92,514,863,305,800
  4. Step 4: Simplify right side
    60,729,332,454,720x = 8,558,999,932,490,859,299,536,371,712
  5. Step 5: Solve for x
    x = 8,558,999,932,490,859,299,536,371,712/60,729,332,454,720
  6. Step 6: Final answer
    x = 140,936,835,406,061.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.