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Finding the Third Proportional to 7,571,744 and 16,421,032

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Solution

The third proportional to 7,571,744 and 16,421,032 is: 35,612,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571,744 : 16,421,032 = 16,421,032 : x
  2. Step 2: Convert to fraction form
    7,571,744/16,421,032 = 16,421,032/x
  3. Step 3: Cross multiply
    7,571,744x = 16,421,032 × 16,421,032
  4. Step 4: Simplify right side
    7,571,744x = 269,650,291,945,024
  5. Step 5: Solve for x
    x = 269,650,291,945,024/7,571,744
  6. Step 6: Final answer
    x = 35,612,705.86

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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.