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Finding the Third Proportional to 10,100,729 and 21,619,606

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Solution

The third proportional to 10,100,729 and 21,619,606 is: 46,274,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,729 : 21,619,606 = 21,619,606 : x
  2. Step 2: Convert to fraction form
    10,100,729/21,619,606 = 21,619,606/x
  3. Step 3: Cross multiply
    10,100,729x = 21,619,606 × 21,619,606
  4. Step 4: Simplify right side
    10,100,729x = 467,407,363,595,236
  5. Step 5: Solve for x
    x = 467,407,363,595,236/10,100,729
  6. Step 6: Final answer
    x = 46,274,616.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.