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Finding the Third Proportional to 30,777,711.75 and 48,029,891.63

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Solution

The third proportional to 30,777,711.75 and 48,029,891.63 is: 74,952,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777,711.75 : 48,029,891.63 = 48,029,891.63 : x
  2. Step 2: Convert to fraction form
    30,777,711.75/48,029,891.63 = 48,029,891.63/x
  3. Step 3: Cross multiply
    30,777,711.75x = 48,029,891.63 × 48,029,891.63
  4. Step 4: Simplify right side
    30,777,711.75x = 2,306,870,489,509,245
  5. Step 5: Solve for x
    x = 2,306,870,489,509,245/30,777,711.75
  6. Step 6: Final answer
    x = 74,952,631.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.