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Finding the Third Proportional to 73,722,699 and 159,712,830

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Solution

The third proportional to 73,722,699 and 159,712,830 is: 346,001,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722,699 : 159,712,830 = 159,712,830 : x
  2. Step 2: Convert to fraction form
    73,722,699/159,712,830 = 159,712,830/x
  3. Step 3: Cross multiply
    73,722,699x = 159,712,830 × 159,712,830
  4. Step 4: Simplify right side
    73,722,699x = 25,508,188,066,608,900
  5. Step 5: Solve for x
    x = 25,508,188,066,608,900/73,722,699
  6. Step 6: Final answer
    x = 346,001,820.51

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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.