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Finding the Third Proportional to 3,033,725.91 and 6,517,702.34

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Solution

The third proportional to 3,033,725.91 and 6,517,702.34 is: 14,002,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033,725.91 : 6,517,702.34 = 6,517,702.34 : x
  2. Step 2: Convert to fraction form
    3,033,725.91/6,517,702.34 = 6,517,702.34/x
  3. Step 3: Cross multiply
    3,033,725.91x = 6,517,702.34 × 6,517,702.34
  4. Step 4: Simplify right side
    3,033,725.91x = 42,480,443,739,885.14
  5. Step 5: Solve for x
    x = 42,480,443,739,885.14/3,033,725.91
  6. Step 6: Final answer
    x = 14,002,729.66

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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.