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Finding the Third Proportional to 77,170,624 and 119,437,224

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Solution

The third proportional to 77,170,624 and 119,437,224 is: 184,853,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,170,624 : 119,437,224 = 119,437,224 : x
  2. Step 2: Convert to fraction form
    77,170,624/119,437,224 = 119,437,224/x
  3. Step 3: Cross multiply
    77,170,624x = 119,437,224 × 119,437,224
  4. Step 4: Simplify right side
    77,170,624x = 14,265,250,476,826,176
  5. Step 5: Solve for x
    x = 14,265,250,476,826,176/77,170,624
  6. Step 6: Final answer
    x = 184,853,377.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.