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Finding the Third Proportional to 70,853,509,684 and 156,149,221,197

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Solution

The third proportional to 70,853,509,684 and 156,149,221,197 is: 344,126,626,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853,509,684 : 156,149,221,197 = 156,149,221,197 : x
  2. Step 2: Convert to fraction form
    70,853,509,684/156,149,221,197 = 156,149,221,197/x
  3. Step 3: Cross multiply
    70,853,509,684x = 156,149,221,197 × 156,149,221,197
  4. Step 4: Simplify right side
    70,853,509,684x = 24,382,579,280,429,635,862,528
  5. Step 5: Solve for x
    x = 24,382,579,280,429,635,862,528/70,853,509,684
  6. Step 6: Final answer
    x = 344,126,626,742.61

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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.