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Finding the Third Proportional to 19,267,976 and 27,838,897

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Solution

The third proportional to 19,267,976 and 27,838,897 is: 40,222,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,267,976 : 27,838,897 = 27,838,897 : x
  2. Step 2: Convert to fraction form
    19,267,976/27,838,897 = 27,838,897/x
  3. Step 3: Cross multiply
    19,267,976x = 27,838,897 × 27,838,897
  4. Step 4: Simplify right side
    19,267,976x = 775,004,186,176,609
  5. Step 5: Solve for x
    x = 775,004,186,176,609/19,267,976
  6. Step 6: Final answer
    x = 40,222,397.32

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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.