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Finding the Third Proportional to 237,632,112 and 378,119,392

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Solution

The third proportional to 237,632,112 and 378,119,392 is: 601,662,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,632,112 : 378,119,392 = 378,119,392 : x
  2. Step 2: Convert to fraction form
    237,632,112/378,119,392 = 378,119,392/x
  3. Step 3: Cross multiply
    237,632,112x = 378,119,392 × 378,119,392
  4. Step 4: Simplify right side
    237,632,112x = 142,974,274,606,449,664
  5. Step 5: Solve for x
    x = 142,974,274,606,449,664/237,632,112
  6. Step 6: Final answer
    x = 601,662,264.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.