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Finding the Third Proportional to 612,527,408 and 941,498,616

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Solution

The third proportional to 612,527,408 and 941,498,616 is: 1,447,150,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,527,408 : 941,498,616 = 941,498,616 : x
  2. Step 2: Convert to fraction form
    612,527,408/941,498,616 = 941,498,616/x
  3. Step 3: Cross multiply
    612,527,408x = 941,498,616 × 941,498,616
  4. Step 4: Simplify right side
    612,527,408x = 886,419,643,929,915,392
  5. Step 5: Solve for x
    x = 886,419,643,929,915,392/612,527,408
  6. Step 6: Final answer
    x = 1,447,150,988.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.