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Finding the Third Proportional to 27,821,484 and 59,471,766

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Solution

The third proportional to 27,821,484 and 59,471,766 is: 127,128,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821,484 : 59,471,766 = 59,471,766 : x
  2. Step 2: Convert to fraction form
    27,821,484/59,471,766 = 59,471,766/x
  3. Step 3: Cross multiply
    27,821,484x = 59,471,766 × 59,471,766
  4. Step 4: Simplify right side
    27,821,484x = 3,536,890,951,158,756
  5. Step 5: Solve for x
    x = 3,536,890,951,158,756/27,821,484
  6. Step 6: Final answer
    x = 127,128,047.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.