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Finding the Third Proportional to 1,415,516,079 and 3,103,129,950

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Solution

The third proportional to 1,415,516,079 and 3,103,129,950 is: 6,802,759,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,516,079 : 3,103,129,950 = 3,103,129,950 : x
  2. Step 2: Convert to fraction form
    1,415,516,079/3,103,129,950 = 3,103,129,950/x
  3. Step 3: Cross multiply
    1,415,516,079x = 3,103,129,950 × 3,103,129,950
  4. Step 4: Simplify right side
    1,415,516,079x = 9,629,415,486,587,002,880
  5. Step 5: Solve for x
    x = 9,629,415,486,587,002,880/1,415,516,079
  6. Step 6: Final answer
    x = 6,802,759,523.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.