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Finding the Third Proportional to 2,154,420,675 and 4,711,948,422

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Solution

The third proportional to 2,154,420,675 and 4,711,948,422 is: 10,305,535,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,420,675 : 4,711,948,422 = 4,711,948,422 : x
  2. Step 2: Convert to fraction form
    2,154,420,675/4,711,948,422 = 4,711,948,422/x
  3. Step 3: Cross multiply
    2,154,420,675x = 4,711,948,422 × 4,711,948,422
  4. Step 4: Simplify right side
    2,154,420,675x = 22,202,457,931,588,288,512
  5. Step 5: Solve for x
    x = 22,202,457,931,588,288,512/2,154,420,675
  6. Step 6: Final answer
    x = 10,305,535,120.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.