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Finding the Third Proportional to 5,140,898 and 11,166,778

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Solution

The third proportional to 5,140,898 and 11,166,778 is: 24,255,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140,898 : 11,166,778 = 11,166,778 : x
  2. Step 2: Convert to fraction form
    5,140,898/11,166,778 = 11,166,778/x
  3. Step 3: Cross multiply
    5,140,898x = 11,166,778 × 11,166,778
  4. Step 4: Simplify right side
    5,140,898x = 124,696,930,901,284
  5. Step 5: Solve for x
    x = 124,696,930,901,284/5,140,898
  6. Step 6: Final answer
    x = 24,255,865.59

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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.