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Finding the Third Proportional to 11,014,324 and 15,483,209

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Solution

The third proportional to 11,014,324 and 15,483,209 is: 21,765,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014,324 : 15,483,209 = 15,483,209 : x
  2. Step 2: Convert to fraction form
    11,014,324/15,483,209 = 15,483,209/x
  3. Step 3: Cross multiply
    11,014,324x = 15,483,209 × 15,483,209
  4. Step 4: Simplify right side
    11,014,324x = 239,729,760,937,681
  5. Step 5: Solve for x
    x = 239,729,760,937,681/11,014,324
  6. Step 6: Final answer
    x = 21,765,272.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.