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Finding the Third Proportional to 3,178,539 and 6,961,713

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Solution

The third proportional to 3,178,539 and 6,961,713 is: 15,247,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,539 : 6,961,713 = 6,961,713 : x
  2. Step 2: Convert to fraction form
    3,178,539/6,961,713 = 6,961,713/x
  3. Step 3: Cross multiply
    3,178,539x = 6,961,713 × 6,961,713
  4. Step 4: Simplify right side
    3,178,539x = 48,465,447,894,369
  5. Step 5: Solve for x
    x = 48,465,447,894,369/3,178,539
  6. Step 6: Final answer
    x = 15,247,712.20

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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.