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Finding the Third Proportional to 6,855,142,920 and 9,472,250,210

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Solution

The third proportional to 6,855,142,920 and 9,472,250,210 is: 13,088,497,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855,142,920 : 9,472,250,210 = 9,472,250,210 : x
  2. Step 2: Convert to fraction form
    6,855,142,920/9,472,250,210 = 9,472,250,210/x
  3. Step 3: Cross multiply
    6,855,142,920x = 9,472,250,210 × 9,472,250,210
  4. Step 4: Simplify right side
    6,855,142,920x = 89,723,524,040,845,049,856
  5. Step 5: Solve for x
    x = 89,723,524,040,845,049,856/6,855,142,920
  6. Step 6: Final answer
    x = 13,088,497,947.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.