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Finding the Third Proportional to 4,010,442.75 and 8,660,189.81

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Solution

The third proportional to 4,010,442.75 and 8,660,189.81 is: 18,700,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,442.75 : 8,660,189.81 = 8,660,189.81 : x
  2. Step 2: Convert to fraction form
    4,010,442.75/8,660,189.81 = 8,660,189.81/x
  3. Step 3: Cross multiply
    4,010,442.75x = 8,660,189.81 × 8,660,189.81
  4. Step 4: Simplify right side
    4,010,442.75x = 74,998,887,588,528.78
  5. Step 5: Solve for x
    x = 74,998,887,588,528.78/4,010,442.75
  6. Step 6: Final answer
    x = 18,700,899.69

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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.