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Finding the Third Proportional to 12,128,198 and 26,451,316

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Solution

The third proportional to 12,128,198 and 26,451,316 is: 57,689,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128,198 : 26,451,316 = 26,451,316 : x
  2. Step 2: Convert to fraction form
    12,128,198/26,451,316 = 26,451,316/x
  3. Step 3: Cross multiply
    12,128,198x = 26,451,316 × 26,451,316
  4. Step 4: Simplify right side
    12,128,198x = 699,672,118,131,856
  5. Step 5: Solve for x
    x = 699,672,118,131,856/12,128,198
  6. Step 6: Final answer
    x = 57,689,701.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.