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Finding the Third Proportional to 26,480,742.75 and 57,019,257

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Solution

The third proportional to 26,480,742.75 and 57,019,257 is: 122,775,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480,742.75 : 57,019,257 = 57,019,257 : x
  2. Step 2: Convert to fraction form
    26,480,742.75/57,019,257 = 57,019,257/x
  3. Step 3: Cross multiply
    26,480,742.75x = 57,019,257 × 57,019,257
  4. Step 4: Simplify right side
    26,480,742.75x = 3,251,195,668,832,049
  5. Step 5: Solve for x
    x = 3,251,195,668,832,049/26,480,742.75
  6. Step 6: Final answer
    x = 122,775,848.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.