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Finding the Third Proportional to 15,731,350 and 34,322,431

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Solution

The third proportional to 15,731,350 and 34,322,431 is: 74,884,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731,350 : 34,322,431 = 34,322,431 : x
  2. Step 2: Convert to fraction form
    15,731,350/34,322,431 = 34,322,431/x
  3. Step 3: Cross multiply
    15,731,350x = 34,322,431 × 34,322,431
  4. Step 4: Simplify right side
    15,731,350x = 1,178,029,269,749,761
  5. Step 5: Solve for x
    x = 1,178,029,269,749,761/15,731,350
  6. Step 6: Final answer
    x = 74,884,181.57

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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.