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Finding the Third Proportional to 32,286,672.56 and 68,883,741.56

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Solution

The third proportional to 32,286,672.56 and 68,883,741.56 is: 146,963,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286,672.56 : 68,883,741.56 = 68,883,741.56 : x
  2. Step 2: Convert to fraction form
    32,286,672.56/68,883,741.56 = 68,883,741.56/x
  3. Step 3: Cross multiply
    32,286,672.56x = 68,883,741.56 × 68,883,741.56
  4. Step 4: Simplify right side
    32,286,672.56x = 4,744,969,851,649,290
  5. Step 5: Solve for x
    x = 4,744,969,851,649,290/32,286,672.56
  6. Step 6: Final answer
    x = 146,963,730.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.