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Finding the Third Proportional to 4,350,564 and 9,330,768

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Solution

The third proportional to 4,350,564 and 9,330,768 is: 20,011,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350,564 : 9,330,768 = 9,330,768 : x
  2. Step 2: Convert to fraction form
    4,350,564/9,330,768 = 9,330,768/x
  3. Step 3: Cross multiply
    4,350,564x = 9,330,768 × 9,330,768
  4. Step 4: Simplify right side
    4,350,564x = 87,063,231,469,824
  5. Step 5: Solve for x
    x = 87,063,231,469,824/4,350,564
  6. Step 6: Final answer
    x = 20,011,941.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.