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Finding the Third Proportional to 30,856,016 and 66,355,762

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Solution

The third proportional to 30,856,016 and 66,355,762 is: 142,697,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856,016 : 66,355,762 = 66,355,762 : x
  2. Step 2: Convert to fraction form
    30,856,016/66,355,762 = 66,355,762/x
  3. Step 3: Cross multiply
    30,856,016x = 66,355,762 × 66,355,762
  4. Step 4: Simplify right side
    30,856,016x = 4,403,087,150,600,644
  5. Step 5: Solve for x
    x = 4,403,087,150,600,644/30,856,016
  6. Step 6: Final answer
    x = 142,697,850.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.