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Finding the Third Proportional to 4,733,168 and 10,367,295

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Solution

The third proportional to 4,733,168 and 10,367,295 is: 22,708,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,168 : 10,367,295 = 10,367,295 : x
  2. Step 2: Convert to fraction form
    4,733,168/10,367,295 = 10,367,295/x
  3. Step 3: Cross multiply
    4,733,168x = 10,367,295 × 10,367,295
  4. Step 4: Simplify right side
    4,733,168x = 107,480,805,617,025
  5. Step 5: Solve for x
    x = 107,480,805,617,025/4,733,168
  6. Step 6: Final answer
    x = 22,708,005.64

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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.