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Finding the Third Proportional to 35,006,186,235 and 75,321,707,023

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Solution

The third proportional to 35,006,186,235 and 75,321,707,023 is: 162,067,341,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006,186,235 : 75,321,707,023 = 75,321,707,023 : x
  2. Step 2: Convert to fraction form
    35,006,186,235/75,321,707,023 = 75,321,707,023/x
  3. Step 3: Cross multiply
    35,006,186,235x = 75,321,707,023 × 75,321,707,023
  4. Step 4: Simplify right side
    35,006,186,235x = 5,673,359,548,858,647,969,792
  5. Step 5: Solve for x
    x = 5,673,359,548,858,647,969,792/35,006,186,235
  6. Step 6: Final answer
    x = 162,067,341,777.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.