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Finding the Third Proportional to 35,006,186,234 and 75,321,707,021

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Solution

The third proportional to 35,006,186,234 and 75,321,707,021 is: 162,067,341,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006,186,234 : 75,321,707,021 = 75,321,707,021 : x
  2. Step 2: Convert to fraction form
    35,006,186,234/75,321,707,021 = 75,321,707,021/x
  3. Step 3: Cross multiply
    35,006,186,234x = 75,321,707,021 × 75,321,707,021
  4. Step 4: Simplify right side
    35,006,186,234x = 5,673,359,548,557,360,627,712
  5. Step 5: Solve for x
    x = 5,673,359,548,557,360,627,712/35,006,186,234
  6. Step 6: Final answer
    x = 162,067,341,773.07

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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.