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Finding the Third Proportional to 6,121,566 and 13,362,123

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Solution

The third proportional to 6,121,566 and 13,362,123 is: 29,166,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,566 : 13,362,123 = 13,362,123 : x
  2. Step 2: Convert to fraction form
    6,121,566/13,362,123 = 13,362,123/x
  3. Step 3: Cross multiply
    6,121,566x = 13,362,123 × 13,362,123
  4. Step 4: Simplify right side
    6,121,566x = 178,546,331,067,129
  5. Step 5: Solve for x
    x = 178,546,331,067,129/6,121,566
  6. Step 6: Final answer
    x = 29,166,773.84

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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.