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Finding the Third Proportional to 34,581,384 and 74,291,296

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Solution

The third proportional to 34,581,384 and 74,291,296 is: 159,600,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,581,384 : 74,291,296 = 74,291,296 : x
  2. Step 2: Convert to fraction form
    34,581,384/74,291,296 = 74,291,296/x
  3. Step 3: Cross multiply
    34,581,384x = 74,291,296 × 74,291,296
  4. Step 4: Simplify right side
    34,581,384x = 5,519,196,661,359,616
  5. Step 5: Solve for x
    x = 5,519,196,661,359,616/34,581,384
  6. Step 6: Final answer
    x = 159,600,224.83

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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.