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Finding the Third Proportional to 4,733,156.25 and 10,367,271

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Solution

The third proportional to 4,733,156.25 and 10,367,271 is: 22,707,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,156.25 : 10,367,271 = 10,367,271 : x
  2. Step 2: Convert to fraction form
    4,733,156.25/10,367,271 = 10,367,271/x
  3. Step 3: Cross multiply
    4,733,156.25x = 10,367,271 × 10,367,271
  4. Step 4: Simplify right side
    4,733,156.25x = 107,480,307,987,441
  5. Step 5: Solve for x
    x = 107,480,307,987,441/4,733,156.25
  6. Step 6: Final answer
    x = 22,707,956.87

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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.