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Finding the Third Proportional to 4,566,096 and 9,838,593

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Solution

The third proportional to 4,566,096 and 9,838,593 is: 21,199,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566,096 : 9,838,593 = 9,838,593 : x
  2. Step 2: Convert to fraction form
    4,566,096/9,838,593 = 9,838,593/x
  3. Step 3: Cross multiply
    4,566,096x = 9,838,593 × 9,838,593
  4. Step 4: Simplify right side
    4,566,096x = 96,797,912,219,649
  5. Step 5: Solve for x
    x = 96,797,912,219,649/4,566,096
  6. Step 6: Final answer
    x = 21,199,272.25

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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.