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Finding the Third Proportional to 4,733,170 and 10,367,297

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Solution

The third proportional to 4,733,170 and 10,367,297 is: 22,708,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,170 : 10,367,297 = 10,367,297 : x
  2. Step 2: Convert to fraction form
    4,733,170/10,367,297 = 10,367,297/x
  3. Step 3: Cross multiply
    4,733,170x = 10,367,297 × 10,367,297
  4. Step 4: Simplify right side
    4,733,170x = 107,480,847,086,209
  5. Step 5: Solve for x
    x = 107,480,847,086,209/4,733,170
  6. Step 6: Final answer
    x = 22,708,004.80

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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.