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Finding the Third Proportional to 49,412,172 and 71,283,582

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Solution

The third proportional to 49,412,172 and 71,283,582 is: 102,835,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,412,172 : 71,283,582 = 71,283,582 : x
  2. Step 2: Convert to fraction form
    49,412,172/71,283,582 = 71,283,582/x
  3. Step 3: Cross multiply
    49,412,172x = 71,283,582 × 71,283,582
  4. Step 4: Simplify right side
    49,412,172x = 5,081,349,062,750,724
  5. Step 5: Solve for x
    x = 5,081,349,062,750,724/49,412,172
  6. Step 6: Final answer
    x = 102,835,978.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.