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Finding the Third Proportional to 31,573,608,561 and 70,206,578,586

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Solution

The third proportional to 31,573,608,561 and 70,206,578,586 is: 156,110,242,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573,608,561 : 70,206,578,586 = 70,206,578,586 : x
  2. Step 2: Convert to fraction form
    31,573,608,561/70,206,578,586 = 70,206,578,586/x
  3. Step 3: Cross multiply
    31,573,608,561x = 70,206,578,586 × 70,206,578,586
  4. Step 4: Simplify right side
    31,573,608,561x = 4,928,963,676,752,193,781,760
  5. Step 5: Solve for x
    x = 4,928,963,676,752,193,781,760/31,573,608,561
  6. Step 6: Final answer
    x = 156,110,242,110.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.