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Finding the Third Proportional to 32,976,696 and 48,505,431

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Solution

The third proportional to 32,976,696 and 48,505,431 is: 71,346,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976,696 : 48,505,431 = 48,505,431 : x
  2. Step 2: Convert to fraction form
    32,976,696/48,505,431 = 48,505,431/x
  3. Step 3: Cross multiply
    32,976,696x = 48,505,431 × 48,505,431
  4. Step 4: Simplify right side
    32,976,696x = 2,352,776,836,495,761
  5. Step 5: Solve for x
    x = 2,352,776,836,495,761/32,976,696
  6. Step 6: Final answer
    x = 71,346,651.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.