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Finding the Third Proportional to 6,464,710 and 9,641,005

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Solution

The third proportional to 6,464,710 and 9,641,005 is: 14,377,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,710 : 9,641,005 = 9,641,005 : x
  2. Step 2: Convert to fraction form
    6,464,710/9,641,005 = 9,641,005/x
  3. Step 3: Cross multiply
    6,464,710x = 9,641,005 × 9,641,005
  4. Step 4: Simplify right side
    6,464,710x = 92,948,977,410,025
  5. Step 5: Solve for x
    x = 92,948,977,410,025/6,464,710
  6. Step 6: Final answer
    x = 14,377,903.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.