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Finding the Third Proportional to 7,476,706 and 11,202,624

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Solution

The third proportional to 7,476,706 and 11,202,624 is: 16,785,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476,706 : 11,202,624 = 11,202,624 : x
  2. Step 2: Convert to fraction form
    7,476,706/11,202,624 = 11,202,624/x
  3. Step 3: Cross multiply
    7,476,706x = 11,202,624 × 11,202,624
  4. Step 4: Simplify right side
    7,476,706x = 125,498,784,485,376
  5. Step 5: Solve for x
    x = 125,498,784,485,376/7,476,706
  6. Step 6: Final answer
    x = 16,785,304.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.