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Finding the Third Proportional to 4,010,201.16 and 8,659,602.42

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Solution

The third proportional to 4,010,201.16 and 8,659,602.42 is: 18,699,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,201.16 : 8,659,602.42 = 8,659,602.42 : x
  2. Step 2: Convert to fraction form
    4,010,201.16/8,659,602.42 = 8,659,602.42/x
  3. Step 3: Cross multiply
    4,010,201.16x = 8,659,602.42 × 8,659,602.42
  4. Step 4: Simplify right side
    4,010,201.16x = 74,988,714,104,943.36
  5. Step 5: Solve for x
    x = 74,988,714,104,943.36/4,010,201.16
  6. Step 6: Final answer
    x = 18,699,489.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.