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Finding the Third Proportional to 681,460,730 and 1,482,320,380

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Solution

The third proportional to 681,460,730 and 1,482,320,380 is: 3,224,358,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,460,730 : 1,482,320,380 = 1,482,320,380 : x
  2. Step 2: Convert to fraction form
    681,460,730/1,482,320,380 = 1,482,320,380/x
  3. Step 3: Cross multiply
    681,460,730x = 1,482,320,380 × 1,482,320,380
  4. Step 4: Simplify right side
    681,460,730x = 2,197,273,708,963,344,384
  5. Step 5: Solve for x
    x = 2,197,273,708,963,344,384/681,460,730
  6. Step 6: Final answer
    x = 3,224,358,517.27

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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.