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Finding the Third Proportional to 10,027,446 and 21,977,214

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Solution

The third proportional to 10,027,446 and 21,977,214 is: 48,167,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027,446 : 21,977,214 = 21,977,214 : x
  2. Step 2: Convert to fraction form
    10,027,446/21,977,214 = 21,977,214/x
  3. Step 3: Cross multiply
    10,027,446x = 21,977,214 × 21,977,214
  4. Step 4: Simplify right side
    10,027,446x = 482,997,935,201,796
  5. Step 5: Solve for x
    x = 482,997,935,201,796/10,027,446
  6. Step 6: Final answer
    x = 48,167,592.75

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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.