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Finding the Third Proportional to 7,609,340 and 16,296,097

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Solution

The third proportional to 7,609,340 and 16,296,097 is: 34,899,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609,340 : 16,296,097 = 16,296,097 : x
  2. Step 2: Convert to fraction form
    7,609,340/16,296,097 = 16,296,097/x
  3. Step 3: Cross multiply
    7,609,340x = 16,296,097 × 16,296,097
  4. Step 4: Simplify right side
    7,609,340x = 265,562,777,433,409
  5. Step 5: Solve for x
    x = 265,562,777,433,409/7,609,340
  6. Step 6: Final answer
    x = 34,899,580.97

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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.