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Finding the Third Proportional to 34,299,296 and 71,421,280

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Solution

The third proportional to 34,299,296 and 71,421,280 is: 148,720,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,299,296 : 71,421,280 = 71,421,280 : x
  2. Step 2: Convert to fraction form
    34,299,296/71,421,280 = 71,421,280/x
  3. Step 3: Cross multiply
    34,299,296x = 71,421,280 × 71,421,280
  4. Step 4: Simplify right side
    34,299,296x = 5,100,999,236,838,400
  5. Step 5: Solve for x
    x = 5,100,999,236,838,400/34,299,296
  6. Step 6: Final answer
    x = 148,720,231.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.