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Finding the Third Proportional to 365,702,608 and 781,002,048

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Solution

The third proportional to 365,702,608 and 781,002,048 is: 1,667,924,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,702,608 : 781,002,048 = 781,002,048 : x
  2. Step 2: Convert to fraction form
    365,702,608/781,002,048 = 781,002,048/x
  3. Step 3: Cross multiply
    365,702,608x = 781,002,048 × 781,002,048
  4. Step 4: Simplify right side
    365,702,608x = 609,964,198,980,194,304
  5. Step 5: Solve for x
    x = 609,964,198,980,194,304/365,702,608
  6. Step 6: Final answer
    x = 1,667,924,115.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.