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Finding the Third Proportional to 3,142,353.50 and 6,749,754.50

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Solution

The third proportional to 3,142,353.50 and 6,749,754.50 is: 14,498,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,353.50 : 6,749,754.50 = 6,749,754.50 : x
  2. Step 2: Convert to fraction form
    3,142,353.50/6,749,754.50 = 6,749,754.50/x
  3. Step 3: Cross multiply
    3,142,353.50x = 6,749,754.50 × 6,749,754.50
  4. Step 4: Simplify right side
    3,142,353.50x = 45,559,185,810,270.25
  5. Step 5: Solve for x
    x = 45,559,185,810,270.25/3,142,353.50
  6. Step 6: Final answer
    x = 14,498,427.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.