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Finding the Third Proportional to 10,027,452 and 21,977,226

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Solution

The third proportional to 10,027,452 and 21,977,226 is: 48,167,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027,452 : 21,977,226 = 21,977,226 : x
  2. Step 2: Convert to fraction form
    10,027,452/21,977,226 = 21,977,226/x
  3. Step 3: Cross multiply
    10,027,452x = 21,977,226 × 21,977,226
  4. Step 4: Simplify right side
    10,027,452x = 482,998,462,655,076
  5. Step 5: Solve for x
    x = 482,998,462,655,076/10,027,452
  6. Step 6: Final answer
    x = 48,167,616.52

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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.