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Finding the Third Proportional to 2,299,929,254 and 5,002,829,892

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Solution

The third proportional to 2,299,929,254 and 5,002,829,892 is: 10,882,207,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,929,254 : 5,002,829,892 = 5,002,829,892 : x
  2. Step 2: Convert to fraction form
    2,299,929,254/5,002,829,892 = 5,002,829,892/x
  3. Step 3: Cross multiply
    2,299,929,254x = 5,002,829,892 × 5,002,829,892
  4. Step 4: Simplify right side
    2,299,929,254x = 25,028,306,928,288,731,136
  5. Step 5: Solve for x
    x = 25,028,306,928,288,731,136/2,299,929,254
  6. Step 6: Final answer
    x = 10,882,207,304.75

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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.