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Finding the Third Proportional to 2,886,384 and 6,264,636

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Solution

The third proportional to 2,886,384 and 6,264,636 is: 13,596,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,384 : 6,264,636 = 6,264,636 : x
  2. Step 2: Convert to fraction form
    2,886,384/6,264,636 = 6,264,636/x
  3. Step 3: Cross multiply
    2,886,384x = 6,264,636 × 6,264,636
  4. Step 4: Simplify right side
    2,886,384x = 39,245,664,212,496
  5. Step 5: Solve for x
    x = 39,245,664,212,496/2,886,384
  6. Step 6: Final answer
    x = 13,596,827.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.