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Finding the Third Proportional to 58,151,046,470 and 126,490,761,694

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Solution

The third proportional to 58,151,046,470 and 126,490,761,694 is: 275,144,021,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,151,046,470 : 126,490,761,694 = 126,490,761,694 : x
  2. Step 2: Convert to fraction form
    58,151,046,470/126,490,761,694 = 126,490,761,694/x
  3. Step 3: Cross multiply
    58,151,046,470x = 126,490,761,694 × 126,490,761,694
  4. Step 4: Simplify right side
    58,151,046,470x = 15,999,912,793,928,296,824,832
  5. Step 5: Solve for x
    x = 15,999,912,793,928,296,824,832/58,151,046,470
  6. Step 6: Final answer
    x = 275,144,021,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.