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Finding the Third Proportional to 754,986,017 and 1,640,657,085

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Solution

The third proportional to 754,986,017 and 1,640,657,085 is: 3,565,305,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,986,017 : 1,640,657,085 = 1,640,657,085 : x
  2. Step 2: Convert to fraction form
    754,986,017/1,640,657,085 = 1,640,657,085/x
  3. Step 3: Cross multiply
    754,986,017x = 1,640,657,085 × 1,640,657,085
  4. Step 4: Simplify right side
    754,986,017x = 2,691,755,670,560,697,344
  5. Step 5: Solve for x
    x = 2,691,755,670,560,697,344/754,986,017
  6. Step 6: Final answer
    x = 3,565,305,330.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.