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Finding the Third Proportional to 10,694,460 and 22,270,194

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Solution

The third proportional to 10,694,460 and 22,270,194 is: 46,375,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,460 : 22,270,194 = 22,270,194 : x
  2. Step 2: Convert to fraction form
    10,694,460/22,270,194 = 22,270,194/x
  3. Step 3: Cross multiply
    10,694,460x = 22,270,194 × 22,270,194
  4. Step 4: Simplify right side
    10,694,460x = 495,961,540,797,636
  5. Step 5: Solve for x
    x = 495,961,540,797,636/10,694,460
  6. Step 6: Final answer
    x = 46,375,557.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.