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Finding the Third Proportional to 10,314,016 and 21,475,650

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Solution

The third proportional to 10,314,016 and 21,475,650 is: 44,716,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314,016 : 21,475,650 = 21,475,650 : x
  2. Step 2: Convert to fraction form
    10,314,016/21,475,650 = 21,475,650/x
  3. Step 3: Cross multiply
    10,314,016x = 21,475,650 × 21,475,650
  4. Step 4: Simplify right side
    10,314,016x = 461,203,542,922,500
  5. Step 5: Solve for x
    x = 461,203,542,922,500/10,314,016
  6. Step 6: Final answer
    x = 44,716,194.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.