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Finding the Third Proportional to 73,722,701 and 159,712,834

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Solution

The third proportional to 73,722,701 and 159,712,834 is: 346,001,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722,701 : 159,712,834 = 159,712,834 : x
  2. Step 2: Convert to fraction form
    73,722,701/159,712,834 = 159,712,834/x
  3. Step 3: Cross multiply
    73,722,701x = 159,712,834 × 159,712,834
  4. Step 4: Simplify right side
    73,722,701x = 25,508,189,344,311,556
  5. Step 5: Solve for x
    x = 25,508,189,344,311,556/73,722,701
  6. Step 6: Final answer
    x = 346,001,828.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.