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Finding the Third Proportional to 4,082,976 and 8,913,033

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Solution

The third proportional to 4,082,976 and 8,913,033 is: 19,456,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082,976 : 8,913,033 = 8,913,033 : x
  2. Step 2: Convert to fraction form
    4,082,976/8,913,033 = 8,913,033/x
  3. Step 3: Cross multiply
    4,082,976x = 8,913,033 × 8,913,033
  4. Step 4: Simplify right side
    4,082,976x = 79,442,157,259,089
  5. Step 5: Solve for x
    x = 79,442,157,259,089/4,082,976
  6. Step 6: Final answer
    x = 19,456,924.87

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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.