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Finding the Third Proportional to 7,609,330 and 16,296,071

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Solution

The third proportional to 7,609,330 and 16,296,071 is: 34,899,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609,330 : 16,296,071 = 16,296,071 : x
  2. Step 2: Convert to fraction form
    7,609,330/16,296,071 = 16,296,071/x
  3. Step 3: Cross multiply
    7,609,330x = 16,296,071 × 16,296,071
  4. Step 4: Simplify right side
    7,609,330x = 265,561,930,037,041
  5. Step 5: Solve for x
    x = 265,561,930,037,041/7,609,330
  6. Step 6: Final answer
    x = 34,899,515.47

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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.