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Finding the Third Proportional to 6,441,543.75 and 13,628,577.75

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Solution

The third proportional to 6,441,543.75 and 13,628,577.75 is: 28,834,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,543.75 : 13,628,577.75 = 13,628,577.75 : x
  2. Step 2: Convert to fraction form
    6,441,543.75/13,628,577.75 = 13,628,577.75/x
  3. Step 3: Cross multiply
    6,441,543.75x = 13,628,577.75 × 13,628,577.75
  4. Step 4: Simplify right side
    6,441,543.75x = 185,738,131,487,795.06
  5. Step 5: Solve for x
    x = 185,738,131,487,795.06/6,441,543.75
  6. Step 6: Final answer
    x = 28,834,412.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.