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Finding the Third Proportional to 34,877,934 and 75,086,280

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Solution

The third proportional to 34,877,934 and 75,086,280 is: 161,648,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,877,934 : 75,086,280 = 75,086,280 : x
  2. Step 2: Convert to fraction form
    34,877,934/75,086,280 = 75,086,280/x
  3. Step 3: Cross multiply
    34,877,934x = 75,086,280 × 75,086,280
  4. Step 4: Simplify right side
    34,877,934x = 5,637,949,444,238,400
  5. Step 5: Solve for x
    x = 5,637,949,444,238,400/34,877,934
  6. Step 6: Final answer
    x = 161,648,033.52

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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.