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Finding the Third Proportional to 27,017,678 and 58,138,637.50

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Solution

The third proportional to 27,017,678 and 58,138,637.50 is: 125,107,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017,678 : 58,138,637.50 = 58,138,637.50 : x
  2. Step 2: Convert to fraction form
    27,017,678/58,138,637.50 = 58,138,637.50/x
  3. Step 3: Cross multiply
    27,017,678x = 58,138,637.50 × 58,138,637.50
  4. Step 4: Simplify right side
    27,017,678x = 3,380,101,170,356,406
  5. Step 5: Solve for x
    x = 3,380,101,170,356,406/27,017,678
  6. Step 6: Final answer
    x = 125,107,019.57

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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.