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Finding the Third Proportional to 2,299,929,114 and 5,002,829,605.50

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Solution

The third proportional to 2,299,929,114 and 5,002,829,605.50 is: 10,882,206,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,929,114 : 5,002,829,605.50 = 5,002,829,605.50 : x
  2. Step 2: Convert to fraction form
    2,299,929,114/5,002,829,605.50 = 5,002,829,605.50/x
  3. Step 3: Cross multiply
    2,299,929,114x = 5,002,829,605.50 × 5,002,829,605.50
  4. Step 4: Simplify right side
    2,299,929,114x = 25,028,304,061,667,287,040
  5. Step 5: Solve for x
    x = 25,028,304,061,667,287,040/2,299,929,114
  6. Step 6: Final answer
    x = 10,882,206,720.77

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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.