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Finding the Third Proportional to 12,265,018 and 16,664,154

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Solution

The third proportional to 12,265,018 and 16,664,154 is: 22,641,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265,018 : 16,664,154 = 16,664,154 : x
  2. Step 2: Convert to fraction form
    12,265,018/16,664,154 = 16,664,154/x
  3. Step 3: Cross multiply
    12,265,018x = 16,664,154 × 16,664,154
  4. Step 4: Simplify right side
    12,265,018x = 277,694,028,535,716
  5. Step 5: Solve for x
    x = 277,694,028,535,716/12,265,018
  6. Step 6: Final answer
    x = 22,641,143.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.