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Finding the Third Proportional to 21,875,625 and 47,142,648

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Solution

The third proportional to 21,875,625 and 47,142,648 is: 101,593,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875,625 : 47,142,648 = 47,142,648 : x
  2. Step 2: Convert to fraction form
    21,875,625/47,142,648 = 47,142,648/x
  3. Step 3: Cross multiply
    21,875,625x = 47,142,648 × 47,142,648
  4. Step 4: Simplify right side
    21,875,625x = 2,222,429,260,451,904
  5. Step 5: Solve for x
    x = 2,222,429,260,451,904/21,875,625
  6. Step 6: Final answer
    x = 101,593,863.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.