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Finding the Third Proportional to 4,221,405.75 and 9,955,248

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Solution

The third proportional to 4,221,405.75 and 9,955,248 is: 23,477,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221,405.75 : 9,955,248 = 9,955,248 : x
  2. Step 2: Convert to fraction form
    4,221,405.75/9,955,248 = 9,955,248/x
  3. Step 3: Cross multiply
    4,221,405.75x = 9,955,248 × 9,955,248
  4. Step 4: Simplify right side
    4,221,405.75x = 99,106,962,741,504
  5. Step 5: Solve for x
    x = 99,106,962,741,504/4,221,405.75
  6. Step 6: Final answer
    x = 23,477,241.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.