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Finding the Third Proportional to 5,357,172 and 8,084,061

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Solution

The third proportional to 5,357,172 and 8,084,061 is: 12,198,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,172 : 8,084,061 = 8,084,061 : x
  2. Step 2: Convert to fraction form
    5,357,172/8,084,061 = 8,084,061/x
  3. Step 3: Cross multiply
    5,357,172x = 8,084,061 × 8,084,061
  4. Step 4: Simplify right side
    5,357,172x = 65,352,042,251,721
  5. Step 5: Solve for x
    x = 65,352,042,251,721/5,357,172
  6. Step 6: Final answer
    x = 12,198,981.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.