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Finding the Third Proportional to 2,627,882 and 5,665,948

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Solution

The third proportional to 2,627,882 and 5,665,948 is: 12,216,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,882 : 5,665,948 = 5,665,948 : x
  2. Step 2: Convert to fraction form
    2,627,882/5,665,948 = 5,665,948/x
  3. Step 3: Cross multiply
    2,627,882x = 5,665,948 × 5,665,948
  4. Step 4: Simplify right side
    2,627,882x = 32,102,966,738,704
  5. Step 5: Solve for x
    x = 32,102,966,738,704/2,627,882
  6. Step 6: Final answer
    x = 12,216,289.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.