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Finding the Third Proportional to 3,077,975 and 6,681,649

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Solution

The third proportional to 3,077,975 and 6,681,649 is: 14,504,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,975 : 6,681,649 = 6,681,649 : x
  2. Step 2: Convert to fraction form
    3,077,975/6,681,649 = 6,681,649/x
  3. Step 3: Cross multiply
    3,077,975x = 6,681,649 × 6,681,649
  4. Step 4: Simplify right side
    3,077,975x = 44,644,433,359,201
  5. Step 5: Solve for x
    x = 44,644,433,359,201/3,077,975
  6. Step 6: Final answer
    x = 14,504,482.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.