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Finding the Third Proportional to 4,429,869.56 and 6,949,157.44

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Solution

The third proportional to 4,429,869.56 and 6,949,157.44 is: 10,901,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429,869.56 : 6,949,157.44 = 6,949,157.44 : x
  2. Step 2: Convert to fraction form
    4,429,869.56/6,949,157.44 = 6,949,157.44/x
  3. Step 3: Cross multiply
    4,429,869.56x = 6,949,157.44 × 6,949,157.44
  4. Step 4: Simplify right side
    4,429,869.56x = 48,290,789,091,161.56
  5. Step 5: Solve for x
    x = 48,290,789,091,161.56/4,429,869.56
  6. Step 6: Final answer
    x = 10,901,176.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.