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Finding the Third Proportional to 8,216,744 and 12,822,543

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Solution

The third proportional to 8,216,744 and 12,822,543 is: 20,010,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,744 : 12,822,543 = 12,822,543 : x
  2. Step 2: Convert to fraction form
    8,216,744/12,822,543 = 12,822,543/x
  3. Step 3: Cross multiply
    8,216,744x = 12,822,543 × 12,822,543
  4. Step 4: Simplify right side
    8,216,744x = 164,417,608,986,849
  5. Step 5: Solve for x
    x = 164,417,608,986,849/8,216,744
  6. Step 6: Final answer
    x = 20,010,068.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.