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Finding the Third Proportional to 9,296,215 and 19,937,191

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Solution

The third proportional to 9,296,215 and 19,937,191 is: 42,758,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,215 : 19,937,191 = 19,937,191 : x
  2. Step 2: Convert to fraction form
    9,296,215/19,937,191 = 19,937,191/x
  3. Step 3: Cross multiply
    9,296,215x = 19,937,191 × 19,937,191
  4. Step 4: Simplify right side
    9,296,215x = 397,491,584,970,481
  5. Step 5: Solve for x
    x = 397,491,584,970,481/9,296,215
  6. Step 6: Final answer
    x = 42,758,432.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.