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Finding the Third Proportional to 4,197,744 and 9,277,560

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Solution

The third proportional to 4,197,744 and 9,277,560 is: 20,504,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,744 : 9,277,560 = 9,277,560 : x
  2. Step 2: Convert to fraction form
    4,197,744/9,277,560 = 9,277,560/x
  3. Step 3: Cross multiply
    4,197,744x = 9,277,560 × 9,277,560
  4. Step 4: Simplify right side
    4,197,744x = 86,073,119,553,600
  5. Step 5: Solve for x
    x = 86,073,119,553,600/4,197,744
  6. Step 6: Final answer
    x = 20,504,613.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.