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Finding the Third Proportional to 10,422,028 and 22,638,169

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Solution

The third proportional to 10,422,028 and 22,638,169 is: 49,173,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,028 : 22,638,169 = 22,638,169 : x
  2. Step 2: Convert to fraction form
    10,422,028/22,638,169 = 22,638,169/x
  3. Step 3: Cross multiply
    10,422,028x = 22,638,169 × 22,638,169
  4. Step 4: Simplify right side
    10,422,028x = 512,486,695,672,561
  5. Step 5: Solve for x
    x = 512,486,695,672,561/10,422,028
  6. Step 6: Final answer
    x = 49,173,413.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.