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Finding the Third Proportional to 6,403,976 and 14,053,882

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Solution

The third proportional to 6,403,976 and 14,053,882 is: 30,842,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403,976 : 14,053,882 = 14,053,882 : x
  2. Step 2: Convert to fraction form
    6,403,976/14,053,882 = 14,053,882/x
  3. Step 3: Cross multiply
    6,403,976x = 14,053,882 × 14,053,882
  4. Step 4: Simplify right side
    6,403,976x = 197,511,599,269,924
  5. Step 5: Solve for x
    x = 197,511,599,269,924/6,403,976
  6. Step 6: Final answer
    x = 30,842,026.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.