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Finding the Third Proportional to 9,642,894.75 and 20,084,611.50

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Solution

The third proportional to 9,642,894.75 and 20,084,611.50 is: 41,833,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642,894.75 : 20,084,611.50 = 20,084,611.50 : x
  2. Step 2: Convert to fraction form
    9,642,894.75/20,084,611.50 = 20,084,611.50/x
  3. Step 3: Cross multiply
    9,642,894.75x = 20,084,611.50 × 20,084,611.50
  4. Step 4: Simplify right side
    9,642,894.75x = 403,391,619,105,932.25
  5. Step 5: Solve for x
    x = 403,391,619,105,932.25/9,642,894.75
  6. Step 6: Final answer
    x = 41,833,041.80

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