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Finding the Third Proportional to 37,109,053.50 and 75,262,035

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Solution

The third proportional to 37,109,053.50 and 75,262,035 is: 152,641,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,109,053.50 : 75,262,035 = 75,262,035 : x
  2. Step 2: Convert to fraction form
    37,109,053.50/75,262,035 = 75,262,035/x
  3. Step 3: Cross multiply
    37,109,053.50x = 75,262,035 × 75,262,035
  4. Step 4: Simplify right side
    37,109,053.50x = 5,664,373,912,341,225
  5. Step 5: Solve for x
    x = 5,664,373,912,341,225/37,109,053.50
  6. Step 6: Final answer
    x = 152,641,293.11

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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.