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Finding the Third Proportional to 2,940,397.88 and 6,331,348.13

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Solution

The third proportional to 2,940,397.88 and 6,331,348.13 is: 13,632,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,397.88 : 6,331,348.13 = 6,331,348.13 : x
  2. Step 2: Convert to fraction form
    2,940,397.88/6,331,348.13 = 6,331,348.13/x
  3. Step 3: Cross multiply
    2,940,397.88x = 6,331,348.13 × 6,331,348.13
  4. Step 4: Simplify right side
    2,940,397.88x = 40,085,969,079,941.02
  5. Step 5: Solve for x
    x = 40,085,969,079,941.02/2,940,397.88
  6. Step 6: Final answer
    x = 13,632,838.41

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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.