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Finding the Third Proportional to 9,167,416 and 19,427,642

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Solution

The third proportional to 9,167,416 and 19,427,642 is: 41,171,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167,416 : 19,427,642 = 19,427,642 : x
  2. Step 2: Convert to fraction form
    9,167,416/19,427,642 = 19,427,642/x
  3. Step 3: Cross multiply
    9,167,416x = 19,427,642 × 19,427,642
  4. Step 4: Simplify right side
    9,167,416x = 377,433,273,680,164
  5. Step 5: Solve for x
    x = 377,433,273,680,164/9,167,416
  6. Step 6: Final answer
    x = 41,171,173.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.