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Finding the Third Proportional to 10,109,917 and 22,144,127

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Solution

The third proportional to 10,109,917 and 22,144,127 is: 48,503,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109,917 : 22,144,127 = 22,144,127 : x
  2. Step 2: Convert to fraction form
    10,109,917/22,144,127 = 22,144,127/x
  3. Step 3: Cross multiply
    10,109,917x = 22,144,127 × 22,144,127
  4. Step 4: Simplify right side
    10,109,917x = 490,362,360,592,129
  5. Step 5: Solve for x
    x = 490,362,360,592,129/10,109,917
  6. Step 6: Final answer
    x = 48,503,104.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.