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Finding the Third Proportional to 2,497,147 and 5,373,282

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Solution

The third proportional to 2,497,147 and 5,373,282 is: 11,562,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497,147 : 5,373,282 = 5,373,282 : x
  2. Step 2: Convert to fraction form
    2,497,147/5,373,282 = 5,373,282/x
  3. Step 3: Cross multiply
    2,497,147x = 5,373,282 × 5,373,282
  4. Step 4: Simplify right side
    2,497,147x = 28,872,159,451,524
  5. Step 5: Solve for x
    x = 28,872,159,451,524/2,497,147
  6. Step 6: Final answer
    x = 11,562,058.40

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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.