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Finding the Third Proportional to 342,224,325 and 739,002,636

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Solution

The third proportional to 342,224,325 and 739,002,636 is: 1,595,809,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,224,325 : 739,002,636 = 739,002,636 : x
  2. Step 2: Convert to fraction form
    342,224,325/739,002,636 = 739,002,636/x
  3. Step 3: Cross multiply
    342,224,325x = 739,002,636 × 739,002,636
  4. Step 4: Simplify right side
    342,224,325x = 546,124,896,014,948,480
  5. Step 5: Solve for x
    x = 546,124,896,014,948,480/342,224,325
  6. Step 6: Final answer
    x = 1,595,809,695.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.