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Finding the Third Proportional to 402,715,469,505 and 872,460,595,677

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Solution

The third proportional to 402,715,469,505 and 872,460,595,677 is: 1,890,137,202,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,715,469,505 : 872,460,595,677 = 872,460,595,677 : x
  2. Step 2: Convert to fraction form
    402,715,469,505/872,460,595,677 = 872,460,595,677/x
  3. Step 3: Cross multiply
    402,715,469,505x = 872,460,595,677 × 872,460,595,677
  4. Step 4: Simplify right side
    402,715,469,505x = 761,187,491,009,065,729,916,928
  5. Step 5: Solve for x
    x = 761,187,491,009,065,729,916,928/402,715,469,505
  6. Step 6: Final answer
    x = 1,890,137,202,687.26

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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.