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Finding the Third Proportional to 74,339,439 and 159,440,253

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Solution

The third proportional to 74,339,439 and 159,440,253 is: 341,961,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,339,439 : 159,440,253 = 159,440,253 : x
  2. Step 2: Convert to fraction form
    74,339,439/159,440,253 = 159,440,253/x
  3. Step 3: Cross multiply
    74,339,439x = 159,440,253 × 159,440,253
  4. Step 4: Simplify right side
    74,339,439x = 25,421,194,276,704,008
  5. Step 5: Solve for x
    x = 25,421,194,276,704,008/74,339,439
  6. Step 6: Final answer
    x = 341,961,072.33

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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.