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Finding the Third Proportional to 4,464,474 and 9,690,024

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Solution

The third proportional to 4,464,474 and 9,690,024 is: 21,031,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,474 : 9,690,024 = 9,690,024 : x
  2. Step 2: Convert to fraction form
    4,464,474/9,690,024 = 9,690,024/x
  3. Step 3: Cross multiply
    4,464,474x = 9,690,024 × 9,690,024
  4. Step 4: Simplify right side
    4,464,474x = 93,896,565,120,576
  5. Step 5: Solve for x
    x = 93,896,565,120,576/4,464,474
  6. Step 6: Final answer
    x = 21,031,943.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.