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Finding the Third Proportional to 5,883,940.50 and 13,740,001.13

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Solution

The third proportional to 5,883,940.50 and 13,740,001.13 is: 32,085,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883,940.50 : 13,740,001.13 = 13,740,001.13 : x
  2. Step 2: Convert to fraction form
    5,883,940.50/13,740,001.13 = 13,740,001.13/x
  3. Step 3: Cross multiply
    5,883,940.50x = 13,740,001.13 × 13,740,001.13
  4. Step 4: Simplify right side
    5,883,940.50x = 188,787,630,915,001.25
  5. Step 5: Solve for x
    x = 188,787,630,915,001.25/5,883,940.50
  6. Step 6: Final answer
    x = 32,085,237.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.