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Finding the Third Proportional to 2,711,934 and 6,018,624

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Solution

The third proportional to 2,711,934 and 6,018,624 is: 13,357,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,934 : 6,018,624 = 6,018,624 : x
  2. Step 2: Convert to fraction form
    2,711,934/6,018,624 = 6,018,624/x
  3. Step 3: Cross multiply
    2,711,934x = 6,018,624 × 6,018,624
  4. Step 4: Simplify right side
    2,711,934x = 36,223,834,853,376
  5. Step 5: Solve for x
    x = 36,223,834,853,376/2,711,934
  6. Step 6: Final answer
    x = 13,357,196.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.