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Finding the Third Proportional to 21,228,675.75 and 31,809,709.13

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Solution

The third proportional to 21,228,675.75 and 31,809,709.13 is: 47,664,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228,675.75 : 31,809,709.13 = 31,809,709.13 : x
  2. Step 2: Convert to fraction form
    21,228,675.75/31,809,709.13 = 31,809,709.13/x
  3. Step 3: Cross multiply
    21,228,675.75x = 31,809,709.13 × 31,809,709.13
  4. Step 4: Simplify right side
    21,228,675.75x = 1,011,857,594,617,108.25
  5. Step 5: Solve for x
    x = 1,011,857,594,617,108.25/21,228,675.75
  6. Step 6: Final answer
    x = 47,664,659.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.