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Finding the Third Proportional to 4,082,980 and 8,913,042

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Solution

The third proportional to 4,082,980 and 8,913,042 is: 19,456,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082,980 : 8,913,042 = 8,913,042 : x
  2. Step 2: Convert to fraction form
    4,082,980/8,913,042 = 8,913,042/x
  3. Step 3: Cross multiply
    4,082,980x = 8,913,042 × 8,913,042
  4. Step 4: Simplify right side
    4,082,980x = 79,442,317,693,764
  5. Step 5: Solve for x
    x = 79,442,317,693,764/4,082,980
  6. Step 6: Final answer
    x = 19,456,945.10

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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.