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Finding the Third Proportional to 3,153,340.13 and 4,869,754.88

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Solution

The third proportional to 3,153,340.13 and 4,869,754.88 is: 7,520,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,340.13 : 4,869,754.88 = 4,869,754.88 : x
  2. Step 2: Convert to fraction form
    3,153,340.13/4,869,754.88 = 4,869,754.88/x
  3. Step 3: Cross multiply
    3,153,340.13x = 4,869,754.88 × 4,869,754.88
  4. Step 4: Simplify right side
    3,153,340.13x = 23,714,512,542,586.27
  5. Step 5: Solve for x
    x = 23,714,512,542,586.27/3,153,340.13
  6. Step 6: Final answer
    x = 7,520,442.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.