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Finding the Third Proportional to 3,116,103.75 and 4,661,705.25

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Solution

The third proportional to 3,116,103.75 and 4,661,705.25 is: 6,973,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,103.75 : 4,661,705.25 = 4,661,705.25 : x
  2. Step 2: Convert to fraction form
    3,116,103.75/4,661,705.25 = 4,661,705.25/x
  3. Step 3: Cross multiply
    3,116,103.75x = 4,661,705.25 × 4,661,705.25
  4. Step 4: Simplify right side
    3,116,103.75x = 21,731,495,837,877.56
  5. Step 5: Solve for x
    x = 21,731,495,837,877.56/3,116,103.75
  6. Step 6: Final answer
    x = 6,973,932.06

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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.