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Finding the Third Proportional to 6,548,815.50 and 13,776,261

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Solution

The third proportional to 6,548,815.50 and 13,776,261 is: 28,980,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,815.50 : 13,776,261 = 13,776,261 : x
  2. Step 2: Convert to fraction form
    6,548,815.50/13,776,261 = 13,776,261/x
  3. Step 3: Cross multiply
    6,548,815.50x = 13,776,261 × 13,776,261
  4. Step 4: Simplify right side
    6,548,815.50x = 189,785,367,140,121
  5. Step 5: Solve for x
    x = 189,785,367,140,121/6,548,815.50
  6. Step 6: Final answer
    x = 28,980,105.97

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Why These Related Problems?

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