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Finding the Third Proportional to 19,273,770 and 27,847,226

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Solution

The third proportional to 19,273,770 and 27,847,226 is: 40,234,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,273,770 : 27,847,226 = 27,847,226 : x
  2. Step 2: Convert to fraction form
    19,273,770/27,847,226 = 27,847,226/x
  3. Step 3: Cross multiply
    19,273,770x = 27,847,226 × 27,847,226
  4. Step 4: Simplify right side
    19,273,770x = 775,467,995,895,076
  5. Step 5: Solve for x
    x = 775,467,995,895,076/19,273,770
  6. Step 6: Final answer
    x = 40,234,370.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.