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Finding the Third Proportional to 3,077,174.25 and 6,696,177.75

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Solution

The third proportional to 3,077,174.25 and 6,696,177.75 is: 14,571,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,174.25 : 6,696,177.75 = 6,696,177.75 : x
  2. Step 2: Convert to fraction form
    3,077,174.25/6,696,177.75 = 6,696,177.75/x
  3. Step 3: Cross multiply
    3,077,174.25x = 6,696,177.75 × 6,696,177.75
  4. Step 4: Simplify right side
    3,077,174.25x = 44,838,796,459,595.06
  5. Step 5: Solve for x
    x = 44,838,796,459,595.06/3,077,174.25
  6. Step 6: Final answer
    x = 14,571,419.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.