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Finding the Third Proportional to 5,786,164 and 12,600,974

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Solution

The third proportional to 5,786,164 and 12,600,974 is: 27,442,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,164 : 12,600,974 = 12,600,974 : x
  2. Step 2: Convert to fraction form
    5,786,164/12,600,974 = 12,600,974/x
  3. Step 3: Cross multiply
    5,786,164x = 12,600,974 × 12,600,974
  4. Step 4: Simplify right side
    5,786,164x = 158,784,545,748,676
  5. Step 5: Solve for x
    x = 158,784,545,748,676/5,786,164
  6. Step 6: Final answer
    x = 27,442,109.44

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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.