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Finding the Third Proportional to 6,393,745.76 and 14,013,527.13

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Solution

The third proportional to 6,393,745.76 and 14,013,527.13 is: 30,714,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,745.76 : 14,013,527.13 = 14,013,527.13 : x
  2. Step 2: Convert to fraction form
    6,393,745.76/14,013,527.13 = 14,013,527.13/x
  3. Step 3: Cross multiply
    6,393,745.76x = 14,013,527.13 × 14,013,527.13
  4. Step 4: Simplify right side
    6,393,745.76x = 196,378,942,702,058.12
  5. Step 5: Solve for x
    x = 196,378,942,702,058.12/6,393,745.76
  6. Step 6: Final answer
    x = 30,714,224.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.