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Finding the Third Proportional to 27,098,659,837 and 58,700,278,322

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Solution

The third proportional to 27,098,659,837 and 58,700,278,322 is: 127,154,726,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098,659,837 : 58,700,278,322 = 58,700,278,322 : x
  2. Step 2: Convert to fraction form
    27,098,659,837/58,700,278,322 = 58,700,278,322/x
  3. Step 3: Cross multiply
    27,098,659,837x = 58,700,278,322 × 58,700,278,322
  4. Step 4: Simplify right side
    27,098,659,837x = 3,445,722,675,080,263,106,560
  5. Step 5: Solve for x
    x = 3,445,722,675,080,263,106,560/27,098,659,837
  6. Step 6: Final answer
    x = 127,154,726,315.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.