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Finding the Third Proportional to 15,732,977 and 34,234,696

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Solution

The third proportional to 15,732,977 and 34,234,696 is: 74,494,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732,977 : 34,234,696 = 34,234,696 : x
  2. Step 2: Convert to fraction form
    15,732,977/34,234,696 = 34,234,696/x
  3. Step 3: Cross multiply
    15,732,977x = 34,234,696 × 34,234,696
  4. Step 4: Simplify right side
    15,732,977x = 1,172,014,410,212,416
  5. Step 5: Solve for x
    x = 1,172,014,410,212,416/15,732,977
  6. Step 6: Final answer
    x = 74,494,128.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.