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Finding the Third Proportional to 13,878,216 and 30,073,181.50

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Solution

The third proportional to 13,878,216 and 30,073,181.50 is: 65,166,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878,216 : 30,073,181.50 = 30,073,181.50 : x
  2. Step 2: Convert to fraction form
    13,878,216/30,073,181.50 = 30,073,181.50/x
  3. Step 3: Cross multiply
    13,878,216x = 30,073,181.50 × 30,073,181.50
  4. Step 4: Simplify right side
    13,878,216x = 904,396,245,531,942.25
  5. Step 5: Solve for x
    x = 904,396,245,531,942.25/13,878,216
  6. Step 6: Final answer
    x = 65,166,606.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.