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Finding the Third Proportional to 4,486,526 and 9,785,067

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Solution

The third proportional to 4,486,526 and 9,785,067 is: 21,341,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,526 : 9,785,067 = 9,785,067 : x
  2. Step 2: Convert to fraction form
    4,486,526/9,785,067 = 9,785,067/x
  3. Step 3: Cross multiply
    4,486,526x = 9,785,067 × 9,785,067
  4. Step 4: Simplify right side
    4,486,526x = 95,747,536,194,489
  5. Step 5: Solve for x
    x = 95,747,536,194,489/4,486,526
  6. Step 6: Final answer
    x = 21,341,130.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.