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Finding the Third Proportional to 10,216,592 and 22,027,696

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Solution

The third proportional to 10,216,592 and 22,027,696 is: 47,493,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216,592 : 22,027,696 = 22,027,696 : x
  2. Step 2: Convert to fraction form
    10,216,592/22,027,696 = 22,027,696/x
  3. Step 3: Cross multiply
    10,216,592x = 22,027,696 × 22,027,696
  4. Step 4: Simplify right side
    10,216,592x = 485,219,391,068,416
  5. Step 5: Solve for x
    x = 485,219,391,068,416/10,216,592
  6. Step 6: Final answer
    x = 47,493,272.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.