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Finding the Third Proportional to 8,329,216.50 and 12,582,405

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Solution

The third proportional to 8,329,216.50 and 12,582,405 is: 19,007,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329,216.50 : 12,582,405 = 12,582,405 : x
  2. Step 2: Convert to fraction form
    8,329,216.50/12,582,405 = 12,582,405/x
  3. Step 3: Cross multiply
    8,329,216.50x = 12,582,405 × 12,582,405
  4. Step 4: Simplify right side
    8,329,216.50x = 158,316,915,584,025
  5. Step 5: Solve for x
    x = 158,316,915,584,025/8,329,216.50
  6. Step 6: Final answer
    x = 19,007,419.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.