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Finding the Third Proportional to 27,780,471 and 59,827,765

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Solution

The third proportional to 27,780,471 and 59,827,765 is: 128,844,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780,471 : 59,827,765 = 59,827,765 : x
  2. Step 2: Convert to fraction form
    27,780,471/59,827,765 = 59,827,765/x
  3. Step 3: Cross multiply
    27,780,471x = 59,827,765 × 59,827,765
  4. Step 4: Simplify right side
    27,780,471x = 3,579,361,464,895,225
  5. Step 5: Solve for x
    x = 3,579,361,464,895,225/27,780,471
  6. Step 6: Final answer
    x = 128,844,520.49

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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.