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Finding the Third Proportional to 29,561,470,588 and 61,218,354,680

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Solution

The third proportional to 29,561,470,588 and 61,218,354,680 is: 126,776,066,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561,470,588 : 61,218,354,680 = 61,218,354,680 : x
  2. Step 2: Convert to fraction form
    29,561,470,588/61,218,354,680 = 61,218,354,680/x
  3. Step 3: Cross multiply
    29,561,470,588x = 61,218,354,680 × 61,218,354,680
  4. Step 4: Simplify right side
    29,561,470,588x = 3,747,686,949,726,278,123,520
  5. Step 5: Solve for x
    x = 3,747,686,949,726,278,123,520/29,561,470,588
  6. Step 6: Final answer
    x = 126,776,066,115.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.