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Finding the Third Proportional to 4,734,416.25 and 10,354,743

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Solution

The third proportional to 4,734,416.25 and 10,354,743 is: 22,647,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,416.25 : 10,354,743 = 10,354,743 : x
  2. Step 2: Convert to fraction form
    4,734,416.25/10,354,743 = 10,354,743/x
  3. Step 3: Cross multiply
    4,734,416.25x = 10,354,743 × 10,354,743
  4. Step 4: Simplify right side
    4,734,416.25x = 107,220,702,596,049
  5. Step 5: Solve for x
    x = 107,220,702,596,049/4,734,416.25
  6. Step 6: Final answer
    x = 22,647,079.79

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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.