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Finding the Third Proportional to 4,380,912 and 9,586,356

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Solution

The third proportional to 4,380,912 and 9,586,356 is: 20,976,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380,912 : 9,586,356 = 9,586,356 : x
  2. Step 2: Convert to fraction form
    4,380,912/9,586,356 = 9,586,356/x
  3. Step 3: Cross multiply
    4,380,912x = 9,586,356 × 9,586,356
  4. Step 4: Simplify right side
    4,380,912x = 91,898,221,358,736
  5. Step 5: Solve for x
    x = 91,898,221,358,736/4,380,912
  6. Step 6: Final answer
    x = 20,976,961.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.