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Finding the Third Proportional to 2,534,234 and 5,514,607

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Solution

The third proportional to 2,534,234 and 5,514,607 is: 12,000,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,234 : 5,514,607 = 5,514,607 : x
  2. Step 2: Convert to fraction form
    2,534,234/5,514,607 = 5,514,607/x
  3. Step 3: Cross multiply
    2,534,234x = 5,514,607 × 5,514,607
  4. Step 4: Simplify right side
    2,534,234x = 30,410,890,364,449
  5. Step 5: Solve for x
    x = 30,410,890,364,449/2,534,234
  6. Step 6: Final answer
    x = 12,000,032.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.