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Finding the Third Proportional to 27,416,685 and 42,589,259

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Solution

The third proportional to 27,416,685 and 42,589,259 is: 66,158,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416,685 : 42,589,259 = 42,589,259 : x
  2. Step 2: Convert to fraction form
    27,416,685/42,589,259 = 42,589,259/x
  3. Step 3: Cross multiply
    27,416,685x = 42,589,259 × 42,589,259
  4. Step 4: Simplify right side
    27,416,685x = 1,813,844,982,169,081
  5. Step 5: Solve for x
    x = 1,813,844,982,169,081/27,416,685
  6. Step 6: Final answer
    x = 66,158,435.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.