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Finding the Third Proportional to 29,678,214 and 47,210,250

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Solution

The third proportional to 29,678,214 and 47,210,250 is: 75,099,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678,214 : 47,210,250 = 47,210,250 : x
  2. Step 2: Convert to fraction form
    29,678,214/47,210,250 = 47,210,250/x
  3. Step 3: Cross multiply
    29,678,214x = 47,210,250 × 47,210,250
  4. Step 4: Simplify right side
    29,678,214x = 2,228,807,705,062,500
  5. Step 5: Solve for x
    x = 2,228,807,705,062,500/29,678,214
  6. Step 6: Final answer
    x = 75,099,118.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.