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Finding the Third Proportional to 22,096,425 and 52,087,418.25

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Solution

The third proportional to 22,096,425 and 52,087,418.25 is: 122,784,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096,425 : 52,087,418.25 = 52,087,418.25 : x
  2. Step 2: Convert to fraction form
    22,096,425/52,087,418.25 = 52,087,418.25/x
  3. Step 3: Cross multiply
    22,096,425x = 52,087,418.25 × 52,087,418.25
  4. Step 4: Simplify right side
    22,096,425x = 2,713,099,139,950,433
  5. Step 5: Solve for x
    x = 2,713,099,139,950,433/22,096,425
  6. Step 6: Final answer
    x = 122,784,529.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.