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Finding the Third Proportional to 71,831,312,282 and 101,025,934,834

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Solution

The third proportional to 71,831,312,282 and 101,025,934,834 is: 142,086,218,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831,312,282 : 101,025,934,834 = 101,025,934,834 : x
  2. Step 2: Convert to fraction form
    71,831,312,282/101,025,934,834 = 101,025,934,834/x
  3. Step 3: Cross multiply
    71,831,312,282x = 101,025,934,834 × 101,025,934,834
  4. Step 4: Simplify right side
    71,831,312,282x = 10,206,239,509,083,613,822,976
  5. Step 5: Solve for x
    x = 10,206,239,509,083,613,822,976/71,831,312,282
  6. Step 6: Final answer
    x = 142,086,218,180.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.