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Finding the Third Proportional to 11,546,945 and 16,143,342

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Solution

The third proportional to 11,546,945 and 16,143,342 is: 22,569,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546,945 : 16,143,342 = 16,143,342 : x
  2. Step 2: Convert to fraction form
    11,546,945/16,143,342 = 16,143,342/x
  3. Step 3: Cross multiply
    11,546,945x = 16,143,342 × 16,143,342
  4. Step 4: Simplify right side
    11,546,945x = 260,607,490,928,964
  5. Step 5: Solve for x
    x = 260,607,490,928,964/11,546,945
  6. Step 6: Final answer
    x = 22,569,388.78

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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.