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Finding the Third Proportional to 34,633,879 and 75,296,142

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Solution

The third proportional to 34,633,879 and 75,296,142 is: 163,698,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,633,879 : 75,296,142 = 75,296,142 : x
  2. Step 2: Convert to fraction form
    34,633,879/75,296,142 = 75,296,142/x
  3. Step 3: Cross multiply
    34,633,879x = 75,296,142 × 75,296,142
  4. Step 4: Simplify right side
    34,633,879x = 5,669,509,000,084,164
  5. Step 5: Solve for x
    x = 5,669,509,000,084,164/34,633,879
  6. Step 6: Final answer
    x = 163,698,354.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.