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Finding the Third Proportional to 29,561,470,594 and 61,218,354,692

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Solution

The third proportional to 29,561,470,594 and 61,218,354,692 is: 126,776,066,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561,470,594 : 61,218,354,692 = 61,218,354,692 : x
  2. Step 2: Convert to fraction form
    29,561,470,594/61,218,354,692 = 61,218,354,692/x
  3. Step 3: Cross multiply
    29,561,470,594x = 61,218,354,692 × 61,218,354,692
  4. Step 4: Simplify right side
    29,561,470,594x = 3,747,686,951,195,518,173,184
  5. Step 5: Solve for x
    x = 3,747,686,951,195,518,173,184/29,561,470,594
  6. Step 6: Final answer
    x = 126,776,066,139.15

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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.