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Finding the Third Proportional to 75,227,909 and 103,947,880

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Solution

The third proportional to 75,227,909 and 103,947,880 is: 143,632,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,227,909 : 103,947,880 = 103,947,880 : x
  2. Step 2: Convert to fraction form
    75,227,909/103,947,880 = 103,947,880/x
  3. Step 3: Cross multiply
    75,227,909x = 103,947,880 × 103,947,880
  4. Step 4: Simplify right side
    75,227,909x = 10,805,161,756,494,400
  5. Step 5: Solve for x
    x = 10,805,161,756,494,400/75,227,909
  6. Step 6: Final answer
    x = 143,632,355.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.