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Finding the Third Proportional to 71,831,312,280.75 and 101,025,934,833

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Solution

The third proportional to 71,831,312,280.75 and 101,025,934,833 is: 142,086,218,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831,312,280.75 : 101,025,934,833 = 101,025,934,833 : x
  2. Step 2: Convert to fraction form
    71,831,312,280.75/101,025,934,833 = 101,025,934,833/x
  3. Step 3: Cross multiply
    71,831,312,280.75x = 101,025,934,833 × 101,025,934,833
  4. Step 4: Simplify right side
    71,831,312,280.75x = 10,206,239,508,881,563,713,536
  5. Step 5: Solve for x
    x = 10,206,239,508,881,563,713,536/71,831,312,280.75
  6. Step 6: Final answer
    x = 142,086,218,180.05

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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.