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Finding the Third Proportional to 2,940,470 and 6,331,470

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Solution

The third proportional to 2,940,470 and 6,331,470 is: 13,633,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,470 : 6,331,470 = 6,331,470 : x
  2. Step 2: Convert to fraction form
    2,940,470/6,331,470 = 6,331,470/x
  3. Step 3: Cross multiply
    2,940,470x = 6,331,470 × 6,331,470
  4. Step 4: Simplify right side
    2,940,470x = 40,087,512,360,900
  5. Step 5: Solve for x
    x = 40,087,512,360,900/2,940,470
  6. Step 6: Final answer
    x = 13,633,028.86

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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.