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Finding the Third Proportional to 754,986,045.38 and 1,640,657,151.56

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Solution

The third proportional to 754,986,045.38 and 1,640,657,151.56 is: 3,565,305,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,986,045.38 : 1,640,657,151.56 = 1,640,657,151.56 : x
  2. Step 2: Convert to fraction form
    754,986,045.38/1,640,657,151.56 = 1,640,657,151.56/x
  3. Step 3: Cross multiply
    754,986,045.38x = 1,640,657,151.56 × 1,640,657,151.56
  4. Step 4: Simplify right side
    754,986,045.38x = 2,691,755,888,973,176,320
  5. Step 5: Solve for x
    x = 2,691,755,888,973,176,320/754,986,045.38
  6. Step 6: Final answer
    x = 3,565,305,485.40

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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.