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Finding the Third Proportional to 240,151,016 and 566,342,820

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Solution

The third proportional to 240,151,016 and 566,342,820 is: 1,335,593,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,151,016 : 566,342,820 = 566,342,820 : x
  2. Step 2: Convert to fraction form
    240,151,016/566,342,820 = 566,342,820/x
  3. Step 3: Cross multiply
    240,151,016x = 566,342,820 × 566,342,820
  4. Step 4: Simplify right side
    240,151,016x = 320,744,189,765,552,384
  5. Step 5: Solve for x
    x = 320,744,189,765,552,384/240,151,016
  6. Step 6: Final answer
    x = 1,335,593,723.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.