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Finding the Third Proportional to 10,101,420 and 22,092,372

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Solution

The third proportional to 10,101,420 and 22,092,372 is: 48,317,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,420 : 22,092,372 = 22,092,372 : x
  2. Step 2: Convert to fraction form
    10,101,420/22,092,372 = 22,092,372/x
  3. Step 3: Cross multiply
    10,101,420x = 22,092,372 × 22,092,372
  4. Step 4: Simplify right side
    10,101,420x = 488,072,900,586,384
  5. Step 5: Solve for x
    x = 488,072,900,586,384/10,101,420
  6. Step 6: Final answer
    x = 48,317,256.44

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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.