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Finding the Third Proportional to 32,819,336 and 71,936,728

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Solution

The third proportional to 32,819,336 and 71,936,728 is: 157,678,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819,336 : 71,936,728 = 71,936,728 : x
  2. Step 2: Convert to fraction form
    32,819,336/71,936,728 = 71,936,728/x
  3. Step 3: Cross multiply
    32,819,336x = 71,936,728 × 71,936,728
  4. Step 4: Simplify right side
    32,819,336x = 5,174,892,835,345,984
  5. Step 5: Solve for x
    x = 5,174,892,835,345,984/32,819,336
  6. Step 6: Final answer
    x = 157,678,169.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.