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Finding the Third Proportional to 4,193,592 and 9,857,292

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Solution

The third proportional to 4,193,592 and 9,857,292 is: 23,170,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,592 : 9,857,292 = 9,857,292 : x
  2. Step 2: Convert to fraction form
    4,193,592/9,857,292 = 9,857,292/x
  3. Step 3: Cross multiply
    4,193,592x = 9,857,292 × 9,857,292
  4. Step 4: Simplify right side
    4,193,592x = 97,166,205,573,264
  5. Step 5: Solve for x
    x = 97,166,205,573,264/4,193,592
  6. Step 6: Final answer
    x = 23,170,161.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.