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Finding the Third Proportional to 29,910,412.50 and 65,069,625

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Solution

The third proportional to 29,910,412.50 and 65,069,625 is: 141,557,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,910,412.50 : 65,069,625 = 65,069,625 : x
  2. Step 2: Convert to fraction form
    29,910,412.50/65,069,625 = 65,069,625/x
  3. Step 3: Cross multiply
    29,910,412.50x = 65,069,625 × 65,069,625
  4. Step 4: Simplify right side
    29,910,412.50x = 4,234,056,097,640,625
  5. Step 5: Solve for x
    x = 4,234,056,097,640,625/29,910,412.50
  6. Step 6: Final answer
    x = 141,557,930.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.