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Finding the Third Proportional to 1,231,291,494 and 2,708,838,858

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Solution

The third proportional to 1,231,291,494 and 2,708,838,858 is: 5,959,440,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,291,494 : 2,708,838,858 = 2,708,838,858 : x
  2. Step 2: Convert to fraction form
    1,231,291,494/2,708,838,858 = 2,708,838,858/x
  3. Step 3: Cross multiply
    1,231,291,494x = 2,708,838,858 × 2,708,838,858
  4. Step 4: Simplify right side
    1,231,291,494x = 7,337,807,958,610,744,320
  5. Step 5: Solve for x
    x = 7,337,807,958,610,744,320/1,231,291,494
  6. Step 6: Final answer
    x = 5,959,440,144.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.