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Finding the Third Proportional to 6,287,133.75 and 9,461,845.50

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Solution

The third proportional to 6,287,133.75 and 9,461,845.50 is: 14,239,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287,133.75 : 9,461,845.50 = 9,461,845.50 : x
  2. Step 2: Convert to fraction form
    6,287,133.75/9,461,845.50 = 9,461,845.50/x
  3. Step 3: Cross multiply
    6,287,133.75x = 9,461,845.50 × 9,461,845.50
  4. Step 4: Simplify right side
    6,287,133.75x = 89,526,520,265,870.25
  5. Step 5: Solve for x
    x = 89,526,520,265,870.25/6,287,133.75
  6. Step 6: Final answer
    x = 14,239,639.85

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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.