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Finding the Third Proportional to 11,546,903 and 16,143,251

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Solution

The third proportional to 11,546,903 and 16,143,251 is: 22,569,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546,903 : 16,143,251 = 16,143,251 : x
  2. Step 2: Convert to fraction form
    11,546,903/16,143,251 = 16,143,251/x
  3. Step 3: Cross multiply
    11,546,903x = 16,143,251 × 16,143,251
  4. Step 4: Simplify right side
    11,546,903x = 260,604,552,849,001
  5. Step 5: Solve for x
    x = 260,604,552,849,001/11,546,903
  6. Step 6: Final answer
    x = 22,569,216.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.