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Finding the Third Proportional to 7,326,272 and 10,769,910

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Solution

The third proportional to 7,326,272 and 10,769,910 is: 15,832,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326,272 : 10,769,910 = 10,769,910 : x
  2. Step 2: Convert to fraction form
    7,326,272/10,769,910 = 10,769,910/x
  3. Step 3: Cross multiply
    7,326,272x = 10,769,910 × 10,769,910
  4. Step 4: Simplify right side
    7,326,272x = 115,990,961,408,100
  5. Step 5: Solve for x
    x = 115,990,961,408,100/7,326,272
  6. Step 6: Final answer
    x = 15,832,194.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.