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Finding the Third Proportional to 6,111,006 and 13,442,306

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Solution

The third proportional to 6,111,006 and 13,442,306 is: 29,568,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,006 : 13,442,306 = 13,442,306 : x
  2. Step 2: Convert to fraction form
    6,111,006/13,442,306 = 13,442,306/x
  3. Step 3: Cross multiply
    6,111,006x = 13,442,306 × 13,442,306
  4. Step 4: Simplify right side
    6,111,006x = 180,695,590,597,636
  5. Step 5: Solve for x
    x = 180,695,590,597,636/6,111,006
  6. Step 6: Final answer
    x = 29,568,877.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.