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Finding the Third Proportional to 2,333,049.75 and 4,852,333.69

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Solution

The third proportional to 2,333,049.75 and 4,852,333.69 is: 10,092,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333,049.75 : 4,852,333.69 = 4,852,333.69 : x
  2. Step 2: Convert to fraction form
    2,333,049.75/4,852,333.69 = 4,852,333.69/x
  3. Step 3: Cross multiply
    2,333,049.75x = 4,852,333.69 × 4,852,333.69
  4. Step 4: Simplify right side
    2,333,049.75x = 23,545,142,214,847.35
  5. Step 5: Solve for x
    x = 23,545,142,214,847.35/2,333,049.75
  6. Step 6: Final answer
    x = 10,092,001.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.