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Finding the Third Proportional to 4,740,649.88 and 10,200,785.63

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Solution

The third proportional to 4,740,649.88 and 10,200,785.63 is: 21,949,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740,649.88 : 10,200,785.63 = 10,200,785.63 : x
  2. Step 2: Convert to fraction form
    4,740,649.88/10,200,785.63 = 10,200,785.63/x
  3. Step 3: Cross multiply
    4,740,649.88x = 10,200,785.63 × 10,200,785.63
  4. Step 4: Simplify right side
    4,740,649.88x = 104,056,027,367,206.64
  5. Step 5: Solve for x
    x = 104,056,027,367,206.64/4,740,649.88
  6. Step 6: Final answer
    x = 21,949,738.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.