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Finding the Third Proportional to 10,729,174 and 22,992,408

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Solution

The third proportional to 10,729,174 and 22,992,408 is: 49,272,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729,174 : 22,992,408 = 22,992,408 : x
  2. Step 2: Convert to fraction form
    10,729,174/22,992,408 = 22,992,408/x
  3. Step 3: Cross multiply
    10,729,174x = 22,992,408 × 22,992,408
  4. Step 4: Simplify right side
    10,729,174x = 528,650,825,638,464
  5. Step 5: Solve for x
    x = 528,650,825,638,464/10,729,174
  6. Step 6: Final answer
    x = 49,272,276.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.