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Finding the Third Proportional to 27,780,462 and 59,827,747.50

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Solution

The third proportional to 27,780,462 and 59,827,747.50 is: 128,844,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780,462 : 59,827,747.50 = 59,827,747.50 : x
  2. Step 2: Convert to fraction form
    27,780,462/59,827,747.50 = 59,827,747.50/x
  3. Step 3: Cross multiply
    27,780,462x = 59,827,747.50 × 59,827,747.50
  4. Step 4: Simplify right side
    27,780,462x = 3,579,359,370,923,756
  5. Step 5: Solve for x
    x = 3,579,359,370,923,756/27,780,462
  6. Step 6: Final answer
    x = 128,844,486.85

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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.