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Finding the Third Proportional to 32,299,269.75 and 70,876,174.50

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Solution

The third proportional to 32,299,269.75 and 70,876,174.50 is: 155,527,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,299,269.75 : 70,876,174.50 = 70,876,174.50 : x
  2. Step 2: Convert to fraction form
    32,299,269.75/70,876,174.50 = 70,876,174.50/x
  3. Step 3: Cross multiply
    32,299,269.75x = 70,876,174.50 × 70,876,174.50
  4. Step 4: Simplify right side
    32,299,269.75x = 5,023,432,111,754,450
  5. Step 5: Solve for x
    x = 5,023,432,111,754,450/32,299,269.75
  6. Step 6: Final answer
    x = 155,527,730.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.