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Finding the Third Proportional to 681,694,218 and 1,472,350,284

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Solution

The third proportional to 681,694,218 and 1,472,350,284 is: 3,180,040,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,694,218 : 1,472,350,284 = 1,472,350,284 : x
  2. Step 2: Convert to fraction form
    681,694,218/1,472,350,284 = 1,472,350,284/x
  3. Step 3: Cross multiply
    681,694,218x = 1,472,350,284 × 1,472,350,284
  4. Step 4: Simplify right side
    681,694,218x = 2,167,815,358,794,880,768
  5. Step 5: Solve for x
    x = 2,167,815,358,794,880,768/681,694,218
  6. Step 6: Final answer
    x = 3,180,040,700.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.