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Finding the Third Proportional to 7,193,684 and 15,052,431

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Solution

The third proportional to 7,193,684 and 15,052,431 is: 31,496,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193,684 : 15,052,431 = 15,052,431 : x
  2. Step 2: Convert to fraction form
    7,193,684/15,052,431 = 15,052,431/x
  3. Step 3: Cross multiply
    7,193,684x = 15,052,431 × 15,052,431
  4. Step 4: Simplify right side
    7,193,684x = 226,575,679,009,761
  5. Step 5: Solve for x
    x = 226,575,679,009,761/7,193,684
  6. Step 6: Final answer
    x = 31,496,473.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.