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Finding the Third Proportional to 9,297,216 and 20,241,216

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Solution

The third proportional to 9,297,216 and 20,241,216 is: 44,067,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297,216 : 20,241,216 = 20,241,216 : x
  2. Step 2: Convert to fraction form
    9,297,216/20,241,216 = 20,241,216/x
  3. Step 3: Cross multiply
    9,297,216x = 20,241,216 × 20,241,216
  4. Step 4: Simplify right side
    9,297,216x = 409,706,825,158,656
  5. Step 5: Solve for x
    x = 409,706,825,158,656/9,297,216
  6. Step 6: Final answer
    x = 44,067,689.20

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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.