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Finding the Third Proportional to 12,944,473.50 and 21,571,534.50

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Solution

The third proportional to 12,944,473.50 and 21,571,534.50 is: 35,948,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944,473.50 : 21,571,534.50 = 21,571,534.50 : x
  2. Step 2: Convert to fraction form
    12,944,473.50/21,571,534.50 = 21,571,534.50/x
  3. Step 3: Cross multiply
    12,944,473.50x = 21,571,534.50 × 21,571,534.50
  4. Step 4: Simplify right side
    12,944,473.50x = 465,331,100,684,690.25
  5. Step 5: Solve for x
    x = 465,331,100,684,690.25/12,944,473.50
  6. Step 6: Final answer
    x = 35,948,244.68

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.