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Finding the Third Proportional to 4,105,440 and 9,004,032

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Solution

The third proportional to 4,105,440 and 9,004,032 is: 19,747,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105,440 : 9,004,032 = 9,004,032 : x
  2. Step 2: Convert to fraction form
    4,105,440/9,004,032 = 9,004,032/x
  3. Step 3: Cross multiply
    4,105,440x = 9,004,032 × 9,004,032
  4. Step 4: Simplify right side
    4,105,440x = 81,072,592,257,024
  5. Step 5: Solve for x
    x = 81,072,592,257,024/4,105,440
  6. Step 6: Final answer
    x = 19,747,601.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.