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Finding the Third Proportional to 5,823,721 and 9,008,137.50

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Solution

The third proportional to 5,823,721 and 9,008,137.50 is: 13,933,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823,721 : 9,008,137.50 = 9,008,137.50 : x
  2. Step 2: Convert to fraction form
    5,823,721/9,008,137.50 = 9,008,137.50/x
  3. Step 3: Cross multiply
    5,823,721x = 9,008,137.50 × 9,008,137.50
  4. Step 4: Simplify right side
    5,823,721x = 81,146,541,218,906.25
  5. Step 5: Solve for x
    x = 81,146,541,218,906.25/5,823,721
  6. Step 6: Final answer
    x = 13,933,796.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.