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Finding the Third Proportional to 13,969,233 and 20,867,841

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Solution

The third proportional to 13,969,233 and 20,867,841 is: 31,173,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969,233 : 20,867,841 = 20,867,841 : x
  2. Step 2: Convert to fraction form
    13,969,233/20,867,841 = 20,867,841/x
  3. Step 3: Cross multiply
    13,969,233x = 20,867,841 × 20,867,841
  4. Step 4: Simplify right side
    13,969,233x = 435,466,788,001,281
  5. Step 5: Solve for x
    x = 435,466,788,001,281/13,969,233
  6. Step 6: Final answer
    x = 31,173,278.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.