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Finding the Third Proportional to 8,216,739 and 12,822,534

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Solution

The third proportional to 8,216,739 and 12,822,534 is: 20,010,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,739 : 12,822,534 = 12,822,534 : x
  2. Step 2: Convert to fraction form
    8,216,739/12,822,534 = 12,822,534/x
  3. Step 3: Cross multiply
    8,216,739x = 12,822,534 × 12,822,534
  4. Step 4: Simplify right side
    8,216,739x = 164,417,378,181,156
  5. Step 5: Solve for x
    x = 164,417,378,181,156/8,216,739
  6. Step 6: Final answer
    x = 20,010,052.43

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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.