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Finding the Third Proportional to 2,807,233 and 6,174,210

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Solution

The third proportional to 2,807,233 and 6,174,210 is: 13,579,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,233 : 6,174,210 = 6,174,210 : x
  2. Step 2: Convert to fraction form
    2,807,233/6,174,210 = 6,174,210/x
  3. Step 3: Cross multiply
    2,807,233x = 6,174,210 × 6,174,210
  4. Step 4: Simplify right side
    2,807,233x = 38,120,869,124,100
  5. Step 5: Solve for x
    x = 38,120,869,124,100/2,807,233
  6. Step 6: Final answer
    x = 13,579,517.31

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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.