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Finding the Third Proportional to 10,284,848 and 21,420,966

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Solution

The third proportional to 10,284,848 and 21,420,966 is: 44,614,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284,848 : 21,420,966 = 21,420,966 : x
  2. Step 2: Convert to fraction form
    10,284,848/21,420,966 = 21,420,966/x
  3. Step 3: Cross multiply
    10,284,848x = 21,420,966 × 21,420,966
  4. Step 4: Simplify right side
    10,284,848x = 458,857,784,373,156
  5. Step 5: Solve for x
    x = 458,857,784,373,156/10,284,848
  6. Step 6: Final answer
    x = 44,614,931.05

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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.