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Finding the Third Proportional to 73,722,710 and 159,712,848

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Solution

The third proportional to 73,722,710 and 159,712,848 is: 346,001,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722,710 : 159,712,848 = 159,712,848 : x
  2. Step 2: Convert to fraction form
    73,722,710/159,712,848 = 159,712,848/x
  3. Step 3: Cross multiply
    73,722,710x = 159,712,848 × 159,712,848
  4. Step 4: Simplify right side
    73,722,710x = 25,508,193,816,271,104
  5. Step 5: Solve for x
    x = 25,508,193,816,271,104/73,722,710
  6. Step 6: Final answer
    x = 346,001,846.87

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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.