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Finding the Third Proportional to 3,129,378 and 6,707,882

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Solution

The third proportional to 3,129,378 and 6,707,882 is: 14,378,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,378 : 6,707,882 = 6,707,882 : x
  2. Step 2: Convert to fraction form
    3,129,378/6,707,882 = 6,707,882/x
  3. Step 3: Cross multiply
    3,129,378x = 6,707,882 × 6,707,882
  4. Step 4: Simplify right side
    3,129,378x = 44,995,680,925,924
  5. Step 5: Solve for x
    x = 44,995,680,925,924/3,129,378
  6. Step 6: Final answer
    x = 14,378,474.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.