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Finding the Third Proportional to 32,231,547 and 49,981,252.50

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Solution

The third proportional to 32,231,547 and 49,981,252.50 is: 77,505,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231,547 : 49,981,252.50 = 49,981,252.50 : x
  2. Step 2: Convert to fraction form
    32,231,547/49,981,252.50 = 49,981,252.50/x
  3. Step 3: Cross multiply
    32,231,547x = 49,981,252.50 × 49,981,252.50
  4. Step 4: Simplify right side
    32,231,547x = 2,498,125,601,468,756
  5. Step 5: Solve for x
    x = 2,498,125,601,468,756/32,231,547
  6. Step 6: Final answer
    x = 77,505,606.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.