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Finding the Third Proportional to 10,120,610 and 14,801,334

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Solution

The third proportional to 10,120,610 and 14,801,334 is: 21,646,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,610 : 14,801,334 = 14,801,334 : x
  2. Step 2: Convert to fraction form
    10,120,610/14,801,334 = 14,801,334/x
  3. Step 3: Cross multiply
    10,120,610x = 14,801,334 × 14,801,334
  4. Step 4: Simplify right side
    10,120,610x = 219,079,488,179,556
  5. Step 5: Solve for x
    x = 219,079,488,179,556/10,120,610
  6. Step 6: Final answer
    x = 21,646,865.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.