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Finding the Third Proportional to 6,298,285.50 and 9,445,785.75

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Solution

The third proportional to 6,298,285.50 and 9,445,785.75 is: 14,166,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,285.50 : 9,445,785.75 = 9,445,785.75 : x
  2. Step 2: Convert to fraction form
    6,298,285.50/9,445,785.75 = 9,445,785.75/x
  3. Step 3: Cross multiply
    6,298,285.50x = 9,445,785.75 × 9,445,785.75
  4. Step 4: Simplify right side
    6,298,285.50x = 89,222,868,434,903.06
  5. Step 5: Solve for x
    x = 89,222,868,434,903.06/6,298,285.50
  6. Step 6: Final answer
    x = 14,166,215.30

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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.