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Finding the Third Proportional to 5,707,449 and 13,319,856

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Solution

The third proportional to 5,707,449 and 13,319,856 is: 31,085,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,449 : 13,319,856 = 13,319,856 : x
  2. Step 2: Convert to fraction form
    5,707,449/13,319,856 = 13,319,856/x
  3. Step 3: Cross multiply
    5,707,449x = 13,319,856 × 13,319,856
  4. Step 4: Simplify right side
    5,707,449x = 177,418,563,860,736
  5. Step 5: Solve for x
    x = 177,418,563,860,736/5,707,449
  6. Step 6: Final answer
    x = 31,085,440.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.