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Finding the Third Proportional to 7,474,588 and 11,543,130

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Solution

The third proportional to 7,474,588 and 11,543,130 is: 17,826,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,588 : 11,543,130 = 11,543,130 : x
  2. Step 2: Convert to fraction form
    7,474,588/11,543,130 = 11,543,130/x
  3. Step 3: Cross multiply
    7,474,588x = 11,543,130 × 11,543,130
  4. Step 4: Simplify right side
    7,474,588x = 133,243,850,196,900
  5. Step 5: Solve for x
    x = 133,243,850,196,900/7,474,588
  6. Step 6: Final answer
    x = 17,826,246.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.