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Finding the Third Proportional to 614,565,357 and 1,351,712,976

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Solution

The third proportional to 614,565,357 and 1,351,712,976 is: 2,973,040,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,565,357 : 1,351,712,976 = 1,351,712,976 : x
  2. Step 2: Convert to fraction form
    614,565,357/1,351,712,976 = 1,351,712,976/x
  3. Step 3: Cross multiply
    614,565,357x = 1,351,712,976 × 1,351,712,976
  4. Step 4: Simplify right side
    614,565,357x = 1,827,127,969,486,776,576
  5. Step 5: Solve for x
    x = 1,827,127,969,486,776,576/614,565,357
  6. Step 6: Final answer
    x = 2,973,040,944.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.