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Finding the Third Proportional to 6,646,074 and 14,458,524

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Solution

The third proportional to 6,646,074 and 14,458,524 is: 31,454,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646,074 : 14,458,524 = 14,458,524 : x
  2. Step 2: Convert to fraction form
    6,646,074/14,458,524 = 14,458,524/x
  3. Step 3: Cross multiply
    6,646,074x = 14,458,524 × 14,458,524
  4. Step 4: Simplify right side
    6,646,074x = 209,048,916,258,576
  5. Step 5: Solve for x
    x = 209,048,916,258,576/6,646,074
  6. Step 6: Final answer
    x = 31,454,497.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.