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Finding the Third Proportional to 33,256,654,416 and 68,870,649,024

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Solution

The third proportional to 33,256,654,416 and 68,870,649,024 is: 142,623,074,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256,654,416 : 68,870,649,024 = 68,870,649,024 : x
  2. Step 2: Convert to fraction form
    33,256,654,416/68,870,649,024 = 68,870,649,024/x
  3. Step 3: Cross multiply
    33,256,654,416x = 68,870,649,024 × 68,870,649,024
  4. Step 4: Simplify right side
    33,256,654,416x = 4,743,166,296,986,992,246,784
  5. Step 5: Solve for x
    x = 4,743,166,296,986,992,246,784/33,256,654,416
  6. Step 6: Final answer
    x = 142,623,074,397.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.