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Finding the Third Proportional to 11,150,729 and 15,702,922

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Solution

The third proportional to 11,150,729 and 15,702,922 is: 22,113,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150,729 : 15,702,922 = 15,702,922 : x
  2. Step 2: Convert to fraction form
    11,150,729/15,702,922 = 15,702,922/x
  3. Step 3: Cross multiply
    11,150,729x = 15,702,922 × 15,702,922
  4. Step 4: Simplify right side
    11,150,729x = 246,581,759,338,084
  5. Step 5: Solve for x
    x = 246,581,759,338,084/11,150,729
  6. Step 6: Final answer
    x = 22,113,510.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.