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Finding the Third Proportional to 5,860,336 and 12,668,128

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Solution

The third proportional to 5,860,336 and 12,668,128 is: 27,384,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860,336 : 12,668,128 = 12,668,128 : x
  2. Step 2: Convert to fraction form
    5,860,336/12,668,128 = 12,668,128/x
  3. Step 3: Cross multiply
    5,860,336x = 12,668,128 × 12,668,128
  4. Step 4: Simplify right side
    5,860,336x = 160,481,467,024,384
  5. Step 5: Solve for x
    x = 160,481,467,024,384/5,860,336
  6. Step 6: Final answer
    x = 27,384,345.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.