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Finding the Third Proportional to 13,841,778 and 30,289,063.50

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Solution

The third proportional to 13,841,778 and 30,289,063.50 is: 66,279,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841,778 : 30,289,063.50 = 30,289,063.50 : x
  2. Step 2: Convert to fraction form
    13,841,778/30,289,063.50 = 30,289,063.50/x
  3. Step 3: Cross multiply
    13,841,778x = 30,289,063.50 × 30,289,063.50
  4. Step 4: Simplify right side
    13,841,778x = 917,427,367,707,032.25
  5. Step 5: Solve for x
    x = 917,427,367,707,032.25/13,841,778
  6. Step 6: Final answer
    x = 66,279,589.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.