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Finding the Third Proportional to 641,229,545 and 1,400,517,706

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Solution

The third proportional to 641,229,545 and 1,400,517,706 is: 3,058,888,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,229,545 : 1,400,517,706 = 1,400,517,706 : x
  2. Step 2: Convert to fraction form
    641,229,545/1,400,517,706 = 1,400,517,706/x
  3. Step 3: Cross multiply
    641,229,545x = 1,400,517,706 × 1,400,517,706
  4. Step 4: Simplify right side
    641,229,545x = 1,961,449,844,819,502,336
  5. Step 5: Solve for x
    x = 1,961,449,844,819,502,336/641,229,545
  6. Step 6: Final answer
    x = 3,058,888,755.38

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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.