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Finding the Third Proportional to 75,471,858 and 161,707,044

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Solution

The third proportional to 75,471,858 and 161,707,044 is: 346,475,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471,858 : 161,707,044 = 161,707,044 : x
  2. Step 2: Convert to fraction form
    75,471,858/161,707,044 = 161,707,044/x
  3. Step 3: Cross multiply
    75,471,858x = 161,707,044 × 161,707,044
  4. Step 4: Simplify right side
    75,471,858x = 26,149,168,079,217,936
  5. Step 5: Solve for x
    x = 26,149,168,079,217,936/75,471,858
  6. Step 6: Final answer
    x = 346,475,743.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.