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Finding the Third Proportional to 2,886,840 and 6,329,468.46

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Solution

The third proportional to 2,886,840 and 6,329,468.46 is: 13,877,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,840 : 6,329,468.46 = 6,329,468.46 : x
  2. Step 2: Convert to fraction form
    2,886,840/6,329,468.46 = 6,329,468.46/x
  3. Step 3: Cross multiply
    2,886,840x = 6,329,468.46 × 6,329,468.46
  4. Step 4: Simplify right side
    2,886,840x = 40,062,170,997,998.73
  5. Step 5: Solve for x
    x = 40,062,170,997,998.73/2,886,840
  6. Step 6: Final answer
    x = 13,877,516.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.