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Finding the Third Proportional to 9,078,612 and 19,452,405

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Solution

The third proportional to 9,078,612 and 19,452,405 is: 41,679,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078,612 : 19,452,405 = 19,452,405 : x
  2. Step 2: Convert to fraction form
    9,078,612/19,452,405 = 19,452,405/x
  3. Step 3: Cross multiply
    9,078,612x = 19,452,405 × 19,452,405
  4. Step 4: Simplify right side
    9,078,612x = 378,396,060,284,025
  5. Step 5: Solve for x
    x = 378,396,060,284,025/9,078,612
  6. Step 6: Final answer
    x = 41,679,946.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.