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Finding the Third Proportional to 2,810,470 and 6,047,199

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Solution

The third proportional to 2,810,470 and 6,047,199 is: 13,011,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,470 : 6,047,199 = 6,047,199 : x
  2. Step 2: Convert to fraction form
    2,810,470/6,047,199 = 6,047,199/x
  3. Step 3: Cross multiply
    2,810,470x = 6,047,199 × 6,047,199
  4. Step 4: Simplify right side
    2,810,470x = 36,568,615,745,601
  5. Step 5: Solve for x
    x = 36,568,615,745,601/2,810,470
  6. Step 6: Final answer
    x = 13,011,565.95

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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.