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Finding the Third Proportional to 31,003,344 and 72,414,796.50

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Solution

The third proportional to 31,003,344 and 72,414,796.50 is: 169,139,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,344 : 72,414,796.50 = 72,414,796.50 : x
  2. Step 2: Convert to fraction form
    31,003,344/72,414,796.50 = 72,414,796.50/x
  3. Step 3: Cross multiply
    31,003,344x = 72,414,796.50 × 72,414,796.50
  4. Step 4: Simplify right side
    31,003,344x = 5,243,902,752,136,412
  5. Step 5: Solve for x
    x = 5,243,902,752,136,412/31,003,344
  6. Step 6: Final answer
    x = 169,139,908.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.