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Finding the Third Proportional to 14,022,630.14 and 21,540,476.81

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Solution

The third proportional to 14,022,630.14 and 21,540,476.81 is: 33,088,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,630.14 : 21,540,476.81 = 21,540,476.81 : x
  2. Step 2: Convert to fraction form
    14,022,630.14/21,540,476.81 = 21,540,476.81/x
  3. Step 3: Cross multiply
    14,022,630.14x = 21,540,476.81 × 21,540,476.81
  4. Step 4: Simplify right side
    14,022,630.14x = 463,992,141,309,850.19
  5. Step 5: Solve for x
    x = 463,992,141,309,850.19/14,022,630.14
  6. Step 6: Final answer
    x = 33,088,809.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.