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Finding the Third Proportional to 3,851,889.75 and 9,109,291.50

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Solution

The third proportional to 3,851,889.75 and 9,109,291.50 is: 21,542,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851,889.75 : 9,109,291.50 = 9,109,291.50 : x
  2. Step 2: Convert to fraction form
    3,851,889.75/9,109,291.50 = 9,109,291.50/x
  3. Step 3: Cross multiply
    3,851,889.75x = 9,109,291.50 × 9,109,291.50
  4. Step 4: Simplify right side
    3,851,889.75x = 82,979,191,631,972.25
  5. Step 5: Solve for x
    x = 82,979,191,631,972.25/3,851,889.75
  6. Step 6: Final answer
    x = 21,542,462.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.