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Finding the Third Proportional to 6,298,266.75 and 9,445,761.75

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Solution

The third proportional to 6,298,266.75 and 9,445,761.75 is: 14,166,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,266.75 : 9,445,761.75 = 9,445,761.75 : x
  2. Step 2: Convert to fraction form
    6,298,266.75/9,445,761.75 = 9,445,761.75/x
  3. Step 3: Cross multiply
    6,298,266.75x = 9,445,761.75 × 9,445,761.75
  4. Step 4: Simplify right side
    6,298,266.75x = 89,222,415,037,763.06
  5. Step 5: Solve for x
    x = 89,222,415,037,763.06/6,298,266.75
  6. Step 6: Final answer
    x = 14,166,185.49

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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.