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Finding the Third Proportional to 4,364,219.25 and 9,483,857.16

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Solution

The third proportional to 4,364,219.25 and 9,483,857.16 is: 20,609,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364,219.25 : 9,483,857.16 = 9,483,857.16 : x
  2. Step 2: Convert to fraction form
    4,364,219.25/9,483,857.16 = 9,483,857.16/x
  3. Step 3: Cross multiply
    4,364,219.25x = 9,483,857.16 × 9,483,857.16
  4. Step 4: Simplify right side
    4,364,219.25x = 89,943,546,560,154.34
  5. Step 5: Solve for x
    x = 89,943,546,560,154.34/4,364,219.25
  6. Step 6: Final answer
    x = 20,609,309.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.