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Finding the Third Proportional to 5,434,624 and 11,105,216

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Solution

The third proportional to 5,434,624 and 11,105,216 is: 22,692,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434,624 : 11,105,216 = 11,105,216 : x
  2. Step 2: Convert to fraction form
    5,434,624/11,105,216 = 11,105,216/x
  3. Step 3: Cross multiply
    5,434,624x = 11,105,216 × 11,105,216
  4. Step 4: Simplify right side
    5,434,624x = 123,325,822,406,656
  5. Step 5: Solve for x
    x = 123,325,822,406,656/5,434,624
  6. Step 6: Final answer
    x = 22,692,613.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.