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Finding the Third Proportional to 6,778,296 and 14,899,952

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Solution

The third proportional to 6,778,296 and 14,899,952 is: 32,752,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778,296 : 14,899,952 = 14,899,952 : x
  2. Step 2: Convert to fraction form
    6,778,296/14,899,952 = 14,899,952/x
  3. Step 3: Cross multiply
    6,778,296x = 14,899,952 × 14,899,952
  4. Step 4: Simplify right side
    6,778,296x = 222,008,569,602,304
  5. Step 5: Solve for x
    x = 222,008,569,602,304/6,778,296
  6. Step 6: Final answer
    x = 32,752,858.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.