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Finding the Third Proportional to 12,860,268 and 27,739,749

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Solution

The third proportional to 12,860,268 and 27,739,749 is: 59,834,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860,268 : 27,739,749 = 27,739,749 : x
  2. Step 2: Convert to fraction form
    12,860,268/27,739,749 = 27,739,749/x
  3. Step 3: Cross multiply
    12,860,268x = 27,739,749 × 27,739,749
  4. Step 4: Simplify right side
    12,860,268x = 769,493,674,583,001
  5. Step 5: Solve for x
    x = 769,493,674,583,001/12,860,268
  6. Step 6: Final answer
    x = 59,834,964.14

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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.