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Finding the Third Proportional to 4,212,816 and 9,074,557

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Solution

The third proportional to 4,212,816 and 9,074,557 is: 19,546,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,816 : 9,074,557 = 9,074,557 : x
  2. Step 2: Convert to fraction form
    4,212,816/9,074,557 = 9,074,557/x
  3. Step 3: Cross multiply
    4,212,816x = 9,074,557 × 9,074,557
  4. Step 4: Simplify right side
    4,212,816x = 82,347,584,746,249
  5. Step 5: Solve for x
    x = 82,347,584,746,249/4,212,816
  6. Step 6: Final answer
    x = 19,546,921.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.