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Finding the Third Proportional to 4,740,205 and 10,505,366

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Solution

The third proportional to 4,740,205 and 10,505,366 is: 23,282,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740,205 : 10,505,366 = 10,505,366 : x
  2. Step 2: Convert to fraction form
    4,740,205/10,505,366 = 10,505,366/x
  3. Step 3: Cross multiply
    4,740,205x = 10,505,366 × 10,505,366
  4. Step 4: Simplify right side
    4,740,205x = 110,362,714,793,956
  5. Step 5: Solve for x
    x = 110,362,714,793,956/4,740,205
  6. Step 6: Final answer
    x = 23,282,266.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.