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Finding the Third Proportional to 5,862,126 and 12,726,906

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Solution

The third proportional to 5,862,126 and 12,726,906 is: 27,630,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862,126 : 12,726,906 = 12,726,906 : x
  2. Step 2: Convert to fraction form
    5,862,126/12,726,906 = 12,726,906/x
  3. Step 3: Cross multiply
    5,862,126x = 12,726,906 × 12,726,906
  4. Step 4: Simplify right side
    5,862,126x = 161,974,136,332,836
  5. Step 5: Solve for x
    x = 161,974,136,332,836/5,862,126
  6. Step 6: Final answer
    x = 27,630,613.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.