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Finding the Third Proportional to 35,511,772.13 and 82,971,552.38

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Solution

The third proportional to 35,511,772.13 and 82,971,552.38 is: 193,859,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511,772.13 : 82,971,552.38 = 82,971,552.38 : x
  2. Step 2: Convert to fraction form
    35,511,772.13/82,971,552.38 = 82,971,552.38/x
  3. Step 3: Cross multiply
    35,511,772.13x = 82,971,552.38 × 82,971,552.38
  4. Step 4: Simplify right side
    35,511,772.13x = 6,884,278,503,517,368
  5. Step 5: Solve for x
    x = 6,884,278,503,517,368/35,511,772.13
  6. Step 6: Final answer
    x = 193,859,052.69

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.