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Finding the Third Proportional to 34,957,272 and 54,717,678

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Solution

The third proportional to 34,957,272 and 54,717,678 is: 85,648,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,957,272 : 54,717,678 = 54,717,678 : x
  2. Step 2: Convert to fraction form
    34,957,272/54,717,678 = 54,717,678/x
  3. Step 3: Cross multiply
    34,957,272x = 54,717,678 × 54,717,678
  4. Step 4: Simplify right side
    34,957,272x = 2,994,024,285,711,684
  5. Step 5: Solve for x
    x = 2,994,024,285,711,684/34,957,272
  6. Step 6: Final answer
    x = 85,648,110.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.