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Finding the Third Proportional to 4,941,049 and 10,706,849

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Solution

The third proportional to 4,941,049 and 10,706,849 is: 23,200,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941,049 : 10,706,849 = 10,706,849 : x
  2. Step 2: Convert to fraction form
    4,941,049/10,706,849 = 10,706,849/x
  3. Step 3: Cross multiply
    4,941,049x = 10,706,849 × 10,706,849
  4. Step 4: Simplify right side
    4,941,049x = 114,636,615,508,801
  5. Step 5: Solve for x
    x = 114,636,615,508,801/4,941,049
  6. Step 6: Final answer
    x = 23,200,865.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.