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Finding the Third Proportional to 8,366,976 and 17,673,984

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Solution

The third proportional to 8,366,976 and 17,673,984 is: 37,333,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366,976 : 17,673,984 = 17,673,984 : x
  2. Step 2: Convert to fraction form
    8,366,976/17,673,984 = 17,673,984/x
  3. Step 3: Cross multiply
    8,366,976x = 17,673,984 × 17,673,984
  4. Step 4: Simplify right side
    8,366,976x = 312,369,710,432,256
  5. Step 5: Solve for x
    x = 312,369,710,432,256/8,366,976
  6. Step 6: Final answer
    x = 37,333,644.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.