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Finding the Third Proportional to 9,692,014.50 and 15,005,371.50

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Solution

The third proportional to 9,692,014.50 and 15,005,371.50 is: 23,231,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692,014.50 : 15,005,371.50 = 15,005,371.50 : x
  2. Step 2: Convert to fraction form
    9,692,014.50/15,005,371.50 = 15,005,371.50/x
  3. Step 3: Cross multiply
    9,692,014.50x = 15,005,371.50 × 15,005,371.50
  4. Step 4: Simplify right side
    9,692,014.50x = 225,161,173,853,012.25
  5. Step 5: Solve for x
    x = 225,161,173,853,012.25/9,692,014.50
  6. Step 6: Final answer
    x = 23,231,617.52

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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.