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Finding the Third Proportional to 19,196,572 and 27,162,561

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Solution

The third proportional to 19,196,572 and 27,162,561 is: 38,434,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196,572 : 27,162,561 = 27,162,561 : x
  2. Step 2: Convert to fraction form
    19,196,572/27,162,561 = 27,162,561/x
  3. Step 3: Cross multiply
    19,196,572x = 27,162,561 × 27,162,561
  4. Step 4: Simplify right side
    19,196,572x = 737,804,720,078,721
  5. Step 5: Solve for x
    x = 737,804,720,078,721/19,196,572
  6. Step 6: Final answer
    x = 38,434,191.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.