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Finding the Third Proportional to 27,472,974 and 54,254,496

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Solution

The third proportional to 27,472,974 and 54,254,496 is: 107,143,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472,974 : 54,254,496 = 54,254,496 : x
  2. Step 2: Convert to fraction form
    27,472,974/54,254,496 = 54,254,496/x
  3. Step 3: Cross multiply
    27,472,974x = 54,254,496 × 54,254,496
  4. Step 4: Simplify right side
    27,472,974x = 2,943,550,336,214,016
  5. Step 5: Solve for x
    x = 2,943,550,336,214,016/27,472,974
  6. Step 6: Final answer
    x = 107,143,490.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.