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Finding the Third Proportional to 2,299,929,157 and 5,002,829,694.50

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Solution

The third proportional to 2,299,929,157 and 5,002,829,694.50 is: 10,882,206,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,929,157 : 5,002,829,694.50 = 5,002,829,694.50 : x
  2. Step 2: Convert to fraction form
    2,299,929,157/5,002,829,694.50 = 5,002,829,694.50/x
  3. Step 3: Cross multiply
    2,299,929,157x = 5,002,829,694.50 × 5,002,829,694.50
  4. Step 4: Simplify right side
    2,299,929,157x = 25,028,304,952,170,962,944
  5. Step 5: Solve for x
    x = 25,028,304,952,170,962,944/2,299,929,157
  6. Step 6: Final answer
    x = 10,882,206,904.50

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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.