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Finding the Third Proportional to 2,299,929,160 and 5,002,829,701

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Solution

The third proportional to 2,299,929,160 and 5,002,829,701 is: 10,882,206,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,929,160 : 5,002,829,701 = 5,002,829,701 : x
  2. Step 2: Convert to fraction form
    2,299,929,160/5,002,829,701 = 5,002,829,701/x
  3. Step 3: Cross multiply
    2,299,929,160x = 5,002,829,701 × 5,002,829,701
  4. Step 4: Simplify right side
    2,299,929,160x = 25,028,305,017,207,750,656
  5. Step 5: Solve for x
    x = 25,028,305,017,207,750,656/2,299,929,160
  6. Step 6: Final answer
    x = 10,882,206,918.59

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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.