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Finding the Third Proportional to 754,986,151.69 and 1,640,657,409.75

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Solution

The third proportional to 754,986,151.69 and 1,640,657,409.75 is: 3,565,306,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,986,151.69 : 1,640,657,409.75 = 1,640,657,409.75 : x
  2. Step 2: Convert to fraction form
    754,986,151.69/1,640,657,409.75 = 1,640,657,409.75/x
  3. Step 3: Cross multiply
    754,986,151.69x = 1,640,657,409.75 × 1,640,657,409.75
  4. Step 4: Simplify right side
    754,986,151.69x = 2,691,756,736,167,579,648
  5. Step 5: Solve for x
    x = 2,691,756,736,167,579,648/754,986,151.69
  6. Step 6: Final answer
    x = 3,565,306,105.48

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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.