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Finding the Third Proportional to 3,102,449.34 and 6,817,114.41

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Solution

The third proportional to 3,102,449.34 and 6,817,114.41 is: 14,979,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,449.34 : 6,817,114.41 = 6,817,114.41 : x
  2. Step 2: Convert to fraction form
    3,102,449.34/6,817,114.41 = 6,817,114.41/x
  3. Step 3: Cross multiply
    3,102,449.34x = 6,817,114.41 × 6,817,114.41
  4. Step 4: Simplify right side
    3,102,449.34x = 46,473,048,827,901.29
  5. Step 5: Solve for x
    x = 46,473,048,827,901.29/3,102,449.34
  6. Step 6: Final answer
    x = 14,979,470.63

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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.