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Finding the Third Proportional to 21,081,420 and 48,798,831

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Solution

The third proportional to 21,081,420 and 48,798,831 is: 112,958,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,081,420 : 48,798,831 = 48,798,831 : x
  2. Step 2: Convert to fraction form
    21,081,420/48,798,831 = 48,798,831/x
  3. Step 3: Cross multiply
    21,081,420x = 48,798,831 × 48,798,831
  4. Step 4: Simplify right side
    21,081,420x = 2,381,325,906,966,561
  5. Step 5: Solve for x
    x = 2,381,325,906,966,561/21,081,420
  6. Step 6: Final answer
    x = 112,958,515.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.