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Finding the Third Proportional to 3,141,684 and 6,784,650

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Solution

The third proportional to 3,141,684 and 6,784,650 is: 14,651,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,684 : 6,784,650 = 6,784,650 : x
  2. Step 2: Convert to fraction form
    3,141,684/6,784,650 = 6,784,650/x
  3. Step 3: Cross multiply
    3,141,684x = 6,784,650 × 6,784,650
  4. Step 4: Simplify right side
    3,141,684x = 46,031,475,622,500
  5. Step 5: Solve for x
    x = 46,031,475,622,500/3,141,684
  6. Step 6: Final answer
    x = 14,651,847.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.