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Finding the Third Proportional to 33,198,074,452 and 71,696,748,520

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Solution

The third proportional to 33,198,074,452 and 71,696,748,520 is: 154,841,021,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198,074,452 : 71,696,748,520 = 71,696,748,520 : x
  2. Step 2: Convert to fraction form
    33,198,074,452/71,696,748,520 = 71,696,748,520/x
  3. Step 3: Cross multiply
    33,198,074,452x = 71,696,748,520 × 71,696,748,520
  4. Step 4: Simplify right side
    33,198,074,452x = 5,140,423,748,340,121,862,144
  5. Step 5: Solve for x
    x = 5,140,423,748,340,121,862,144/33,198,074,452
  6. Step 6: Final answer
    x = 154,841,021,149.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.