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Finding the Third Proportional to 4,901,876 and 10,771,324

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Solution

The third proportional to 4,901,876 and 10,771,324 is: 23,668,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901,876 : 10,771,324 = 10,771,324 : x
  2. Step 2: Convert to fraction form
    4,901,876/10,771,324 = 10,771,324/x
  3. Step 3: Cross multiply
    4,901,876x = 10,771,324 × 10,771,324
  4. Step 4: Simplify right side
    4,901,876x = 116,021,420,712,976
  5. Step 5: Solve for x
    x = 116,021,420,712,976/4,901,876
  6. Step 6: Final answer
    x = 23,668,779.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.