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Finding the Third Proportional to 6,548,817.75 and 13,776,265.50

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Solution

The third proportional to 6,548,817.75 and 13,776,265.50 is: 28,980,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,817.75 : 13,776,265.50 = 13,776,265.50 : x
  2. Step 2: Convert to fraction form
    6,548,817.75/13,776,265.50 = 13,776,265.50/x
  3. Step 3: Cross multiply
    6,548,817.75x = 13,776,265.50 × 13,776,265.50
  4. Step 4: Simplify right side
    6,548,817.75x = 189,785,491,126,490.25
  5. Step 5: Solve for x
    x = 189,785,491,126,490.25/6,548,817.75
  6. Step 6: Final answer
    x = 28,980,114.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.