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Finding the Third Proportional to 5,416,159.50 and 7,958,391.75

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Solution

The third proportional to 5,416,159.50 and 7,958,391.75 is: 11,693,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,159.50 : 7,958,391.75 = 7,958,391.75 : x
  2. Step 2: Convert to fraction form
    5,416,159.50/7,958,391.75 = 7,958,391.75/x
  3. Step 3: Cross multiply
    5,416,159.50x = 7,958,391.75 × 7,958,391.75
  4. Step 4: Simplify right side
    5,416,159.50x = 63,335,999,246,468.06
  5. Step 5: Solve for x
    x = 63,335,999,246,468.06/5,416,159.50
  6. Step 6: Final answer
    x = 11,693,894.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.