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Finding the Third Proportional to 11,221,694 and 24,159,574

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Solution

The third proportional to 11,221,694 and 24,159,574 is: 52,013,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221,694 : 24,159,574 = 24,159,574 : x
  2. Step 2: Convert to fraction form
    11,221,694/24,159,574 = 24,159,574/x
  3. Step 3: Cross multiply
    11,221,694x = 24,159,574 × 24,159,574
  4. Step 4: Simplify right side
    11,221,694x = 583,685,015,861,476
  5. Step 5: Solve for x
    x = 583,685,015,861,476/11,221,694
  6. Step 6: Final answer
    x = 52,013,984.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.