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Finding the Third Proportional to 51,135,057 and 109,859,487

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Solution

The third proportional to 51,135,057 and 109,859,487 is: 236,024,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135,057 : 109,859,487 = 109,859,487 : x
  2. Step 2: Convert to fraction form
    51,135,057/109,859,487 = 109,859,487/x
  3. Step 3: Cross multiply
    51,135,057x = 109,859,487 × 109,859,487
  4. Step 4: Simplify right side
    51,135,057x = 12,069,106,883,903,168
  5. Step 5: Solve for x
    x = 12,069,106,883,903,168/51,135,057
  6. Step 6: Final answer
    x = 236,024,121.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.