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Finding the Third Proportional to 8,295,021 and 12,695,130

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Solution

The third proportional to 8,295,021 and 12,695,130 is: 19,429,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295,021 : 12,695,130 = 12,695,130 : x
  2. Step 2: Convert to fraction form
    8,295,021/12,695,130 = 12,695,130/x
  3. Step 3: Cross multiply
    8,295,021x = 12,695,130 × 12,695,130
  4. Step 4: Simplify right side
    8,295,021x = 161,166,325,716,900
  5. Step 5: Solve for x
    x = 161,166,325,716,900/8,295,021
  6. Step 6: Final answer
    x = 19,429,284.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.