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Finding the Third Proportional to 7,893,969.75 and 11,808,816.75

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Solution

The third proportional to 7,893,969.75 and 11,808,816.75 is: 17,665,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893,969.75 : 11,808,816.75 = 11,808,816.75 : x
  2. Step 2: Convert to fraction form
    7,893,969.75/11,808,816.75 = 11,808,816.75/x
  3. Step 3: Cross multiply
    7,893,969.75x = 11,808,816.75 × 11,808,816.75
  4. Step 4: Simplify right side
    7,893,969.75x = 139,448,153,035,080.56
  5. Step 5: Solve for x
    x = 139,448,153,035,080.56/7,893,969.75
  6. Step 6: Final answer
    x = 17,665,149.15

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Why These Related Problems?

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