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Finding the Third Proportional to 2,949,874.50 and 6,485,140.50

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Solution

The third proportional to 2,949,874.50 and 6,485,140.50 is: 14,257,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,874.50 : 6,485,140.50 = 6,485,140.50 : x
  2. Step 2: Convert to fraction form
    2,949,874.50/6,485,140.50 = 6,485,140.50/x
  3. Step 3: Cross multiply
    2,949,874.50x = 6,485,140.50 × 6,485,140.50
  4. Step 4: Simplify right side
    2,949,874.50x = 42,057,047,304,740.25
  5. Step 5: Solve for x
    x = 42,057,047,304,740.25/2,949,874.50
  6. Step 6: Final answer
    x = 14,257,232.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.