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Finding the Third Proportional to 26,480,742 and 57,019,254.75

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Solution

The third proportional to 26,480,742 and 57,019,254.75 is: 122,775,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480,742 : 57,019,254.75 = 57,019,254.75 : x
  2. Step 2: Convert to fraction form
    26,480,742/57,019,254.75 = 57,019,254.75/x
  3. Step 3: Cross multiply
    26,480,742x = 57,019,254.75 × 57,019,254.75
  4. Step 4: Simplify right side
    26,480,742x = 3,251,195,412,245,397.50
  5. Step 5: Solve for x
    x = 3,251,195,412,245,397.50/26,480,742
  6. Step 6: Final answer
    x = 122,775,842.62

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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.