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Finding the Third Proportional to 4,448,064 and 9,711,756

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Solution

The third proportional to 4,448,064 and 9,711,756 is: 21,204,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,064 : 9,711,756 = 9,711,756 : x
  2. Step 2: Convert to fraction form
    4,448,064/9,711,756 = 9,711,756/x
  3. Step 3: Cross multiply
    4,448,064x = 9,711,756 × 9,711,756
  4. Step 4: Simplify right side
    4,448,064x = 94,318,204,603,536
  5. Step 5: Solve for x
    x = 94,318,204,603,536/4,448,064
  6. Step 6: Final answer
    x = 21,204,327.23

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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.