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Finding the Third Proportional to 70,853,509,674 and 156,149,221,177

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Solution

The third proportional to 70,853,509,674 and 156,149,221,177 is: 344,126,626,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853,509,674 : 156,149,221,177 = 156,149,221,177 : x
  2. Step 2: Convert to fraction form
    70,853,509,674/156,149,221,177 = 156,149,221,177/x
  3. Step 3: Cross multiply
    70,853,509,674x = 156,149,221,177 × 156,149,221,177
  4. Step 4: Simplify right side
    70,853,509,674x = 24,382,579,274,183,667,089,408
  5. Step 5: Solve for x
    x = 24,382,579,274,183,667,089,408/70,853,509,674
  6. Step 6: Final answer
    x = 344,126,626,703.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.