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Finding the Third Proportional to 9,006,800 and 18,380,368

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Solution

The third proportional to 9,006,800 and 18,380,368 is: 37,509,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006,800 : 18,380,368 = 18,380,368 : x
  2. Step 2: Convert to fraction form
    9,006,800/18,380,368 = 18,380,368/x
  3. Step 3: Cross multiply
    9,006,800x = 18,380,368 × 18,380,368
  4. Step 4: Simplify right side
    9,006,800x = 337,837,927,815,424
  5. Step 5: Solve for x
    x = 337,837,927,815,424/9,006,800
  6. Step 6: Final answer
    x = 37,509,207.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.