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Finding the Third Proportional to 4,193,435 and 9,172,001

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Solution

The third proportional to 4,193,435 and 9,172,001 is: 20,061,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,435 : 9,172,001 = 9,172,001 : x
  2. Step 2: Convert to fraction form
    4,193,435/9,172,001 = 9,172,001/x
  3. Step 3: Cross multiply
    4,193,435x = 9,172,001 × 9,172,001
  4. Step 4: Simplify right side
    4,193,435x = 84,125,602,344,001
  5. Step 5: Solve for x
    x = 84,125,602,344,001/4,193,435
  6. Step 6: Final answer
    x = 20,061,262.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.