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Finding the Third Proportional to 122,561,243 and 262,607,431

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Solution

The third proportional to 122,561,243 and 262,607,431 is: 562,679,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,561,243 : 262,607,431 = 262,607,431 : x
  2. Step 2: Convert to fraction form
    122,561,243/262,607,431 = 262,607,431/x
  3. Step 3: Cross multiply
    122,561,243x = 262,607,431 × 262,607,431
  4. Step 4: Simplify right side
    122,561,243x = 68,962,662,816,419,760
  5. Step 5: Solve for x
    x = 68,962,662,816,419,760/122,561,243
  6. Step 6: Final answer
    x = 562,679,205.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.