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Finding the Third Proportional to 24,725,203.50 and 50,149,140

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Solution

The third proportional to 24,725,203.50 and 50,149,140 is: 101,715,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725,203.50 : 50,149,140 = 50,149,140 : x
  2. Step 2: Convert to fraction form
    24,725,203.50/50,149,140 = 50,149,140/x
  3. Step 3: Cross multiply
    24,725,203.50x = 50,149,140 × 50,149,140
  4. Step 4: Simplify right side
    24,725,203.50x = 2,514,936,242,739,600
  5. Step 5: Solve for x
    x = 2,514,936,242,739,600/24,725,203.50
  6. Step 6: Final answer
    x = 101,715,492.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.