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Finding the Third Proportional to 7,285,857 and 15,693,024

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Solution

The third proportional to 7,285,857 and 15,693,024 is: 33,801,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,857 : 15,693,024 = 15,693,024 : x
  2. Step 2: Convert to fraction form
    7,285,857/15,693,024 = 15,693,024/x
  3. Step 3: Cross multiply
    7,285,857x = 15,693,024 × 15,693,024
  4. Step 4: Simplify right side
    7,285,857x = 246,271,002,264,576
  5. Step 5: Solve for x
    x = 246,271,002,264,576/7,285,857
  6. Step 6: Final answer
    x = 33,801,240.16

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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.