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Finding the Third Proportional to 70,853,509,678 and 156,149,221,185

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Solution

The third proportional to 70,853,509,678 and 156,149,221,185 is: 344,126,626,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853,509,678 : 156,149,221,185 = 156,149,221,185 : x
  2. Step 2: Convert to fraction form
    70,853,509,678/156,149,221,185 = 156,149,221,185/x
  3. Step 3: Cross multiply
    70,853,509,678x = 156,149,221,185 × 156,149,221,185
  4. Step 4: Simplify right side
    70,853,509,678x = 24,382,579,276,682,054,598,656
  5. Step 5: Solve for x
    x = 24,382,579,276,682,054,598,656/70,853,509,678
  6. Step 6: Final answer
    x = 344,126,626,718.86

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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.