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Finding the Third Proportional to 14,070,450 and 21,022,846.50

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Solution

The third proportional to 14,070,450 and 21,022,846.50 is: 31,410,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070,450 : 21,022,846.50 = 21,022,846.50 : x
  2. Step 2: Convert to fraction form
    14,070,450/21,022,846.50 = 21,022,846.50/x
  3. Step 3: Cross multiply
    14,070,450x = 21,022,846.50 × 21,022,846.50
  4. Step 4: Simplify right side
    14,070,450x = 441,960,074,962,562.25
  5. Step 5: Solve for x
    x = 441,960,074,962,562.25/14,070,450
  6. Step 6: Final answer
    x = 31,410,514.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.