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Finding the Third Proportional to 6,419,180 and 9,971,646

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Solution

The third proportional to 6,419,180 and 9,971,646 is: 15,490,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,180 : 9,971,646 = 9,971,646 : x
  2. Step 2: Convert to fraction form
    6,419,180/9,971,646 = 9,971,646/x
  3. Step 3: Cross multiply
    6,419,180x = 9,971,646 × 9,971,646
  4. Step 4: Simplify right side
    6,419,180x = 99,433,723,949,316
  5. Step 5: Solve for x
    x = 99,433,723,949,316/6,419,180
  6. Step 6: Final answer
    x = 15,490,097.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.