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Finding the Third Proportional to 12,998,106 and 18,171,237

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Solution

The third proportional to 12,998,106 and 18,171,237 is: 25,403,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998,106 : 18,171,237 = 18,171,237 : x
  2. Step 2: Convert to fraction form
    12,998,106/18,171,237 = 18,171,237/x
  3. Step 3: Cross multiply
    12,998,106x = 18,171,237 × 18,171,237
  4. Step 4: Simplify right side
    12,998,106x = 330,193,854,110,169
  5. Step 5: Solve for x
    x = 330,193,854,110,169/12,998,106
  6. Step 6: Final answer
    x = 25,403,228.29

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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.