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Finding the Third Proportional to 7,609,343 and 16,296,103

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Solution

The third proportional to 7,609,343 and 16,296,103 is: 34,899,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609,343 : 16,296,103 = 16,296,103 : x
  2. Step 2: Convert to fraction form
    7,609,343/16,296,103 = 16,296,103/x
  3. Step 3: Cross multiply
    7,609,343x = 16,296,103 × 16,296,103
  4. Step 4: Simplify right side
    7,609,343x = 265,562,972,986,609
  5. Step 5: Solve for x
    x = 265,562,972,986,609/7,609,343
  6. Step 6: Final answer
    x = 34,899,592.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.