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Finding the Third Proportional to 70,853,509,672 and 156,149,221,173

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Solution

The third proportional to 70,853,509,672 and 156,149,221,173 is: 344,126,626,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853,509,672 : 156,149,221,173 = 156,149,221,173 : x
  2. Step 2: Convert to fraction form
    70,853,509,672/156,149,221,173 = 156,149,221,173/x
  3. Step 3: Cross multiply
    70,853,509,672x = 156,149,221,173 × 156,149,221,173
  4. Step 4: Simplify right side
    70,853,509,672x = 24,382,579,272,934,473,334,784
  5. Step 5: Solve for x
    x = 24,382,579,272,934,473,334,784/70,853,509,672
  6. Step 6: Final answer
    x = 344,126,626,695.11

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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.