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Finding the Third Proportional to 6,308,464.50 and 9,452,201.63

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Solution

The third proportional to 6,308,464.50 and 9,452,201.63 is: 14,162,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308,464.50 : 9,452,201.63 = 9,452,201.63 : x
  2. Step 2: Convert to fraction form
    6,308,464.50/9,452,201.63 = 9,452,201.63/x
  3. Step 3: Cross multiply
    6,308,464.50x = 9,452,201.63 × 9,452,201.63
  4. Step 4: Simplify right side
    6,308,464.50x = 89,344,115,559,652.64
  5. Step 5: Solve for x
    x = 89,344,115,559,652.64/6,308,464.50
  6. Step 6: Final answer
    x = 14,162,577.21

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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.