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Finding the Third Proportional to 10,459,728 and 22,571,848

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Solution

The third proportional to 10,459,728 and 22,571,848 is: 48,709,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459,728 : 22,571,848 = 22,571,848 : x
  2. Step 2: Convert to fraction form
    10,459,728/22,571,848 = 22,571,848/x
  3. Step 3: Cross multiply
    10,459,728x = 22,571,848 × 22,571,848
  4. Step 4: Simplify right side
    10,459,728x = 509,488,322,135,104
  5. Step 5: Solve for x
    x = 509,488,322,135,104/10,459,728
  6. Step 6: Final answer
    x = 48,709,519.23

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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.