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Finding the Third Proportional to 11,216,466 and 24,401,259

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Solution

The third proportional to 11,216,466 and 24,401,259 is: 53,084,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216,466 : 24,401,259 = 24,401,259 : x
  2. Step 2: Convert to fraction form
    11,216,466/24,401,259 = 24,401,259/x
  3. Step 3: Cross multiply
    11,216,466x = 24,401,259 × 24,401,259
  4. Step 4: Simplify right side
    11,216,466x = 595,421,440,785,081
  5. Step 5: Solve for x
    x = 595,421,440,785,081/11,216,466
  6. Step 6: Final answer
    x = 53,084,584.82

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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.