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Finding the Third Proportional to 32,976,247.50 and 70,480,975.50

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Solution

The third proportional to 32,976,247.50 and 70,480,975.50 is: 150,640,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976,247.50 : 70,480,975.50 = 70,480,975.50 : x
  2. Step 2: Convert to fraction form
    32,976,247.50/70,480,975.50 = 70,480,975.50/x
  3. Step 3: Cross multiply
    32,976,247.50x = 70,480,975.50 × 70,480,975.50
  4. Step 4: Simplify right side
    32,976,247.50x = 4,967,567,907,431,600
  5. Step 5: Solve for x
    x = 4,967,567,907,431,600/32,976,247.50
  6. Step 6: Final answer
    x = 150,640,787.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.