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Finding the Third Proportional to 5,615,632 and 8,212,846

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Solution

The third proportional to 5,615,632 and 8,212,846 is: 12,011,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615,632 : 8,212,846 = 8,212,846 : x
  2. Step 2: Convert to fraction form
    5,615,632/8,212,846 = 8,212,846/x
  3. Step 3: Cross multiply
    5,615,632x = 8,212,846 × 8,212,846
  4. Step 4: Simplify right side
    5,615,632x = 67,450,839,419,716
  5. Step 5: Solve for x
    x = 67,450,839,419,716/5,615,632
  6. Step 6: Final answer
    x = 12,011,264.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.