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Finding the Third Proportional to 7,612,378 and 16,486,898

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Solution

The third proportional to 7,612,378 and 16,486,898 is: 35,707,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,378 : 16,486,898 = 16,486,898 : x
  2. Step 2: Convert to fraction form
    7,612,378/16,486,898 = 16,486,898/x
  3. Step 3: Cross multiply
    7,612,378x = 16,486,898 × 16,486,898
  4. Step 4: Simplify right side
    7,612,378x = 271,817,805,662,404
  5. Step 5: Solve for x
    x = 271,817,805,662,404/7,612,378
  6. Step 6: Final answer
    x = 35,707,344.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.