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Finding the Third Proportional to 4,197,163.50 and 9,036,468

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Solution

The third proportional to 4,197,163.50 and 9,036,468 is: 19,455,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,163.50 : 9,036,468 = 9,036,468 : x
  2. Step 2: Convert to fraction form
    4,197,163.50/9,036,468 = 9,036,468/x
  3. Step 3: Cross multiply
    4,197,163.50x = 9,036,468 × 9,036,468
  4. Step 4: Simplify right side
    4,197,163.50x = 81,657,753,915,024
  5. Step 5: Solve for x
    x = 81,657,753,915,024/4,197,163.50
  6. Step 6: Final answer
    x = 19,455,461.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.