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Finding the Third Proportional to 6,884,684 and 14,985,340

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Solution

The third proportional to 6,884,684 and 14,985,340 is: 32,617,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884,684 : 14,985,340 = 14,985,340 : x
  2. Step 2: Convert to fraction form
    6,884,684/14,985,340 = 14,985,340/x
  3. Step 3: Cross multiply
    6,884,684x = 14,985,340 × 14,985,340
  4. Step 4: Simplify right side
    6,884,684x = 224,560,414,915,600
  5. Step 5: Solve for x
    x = 224,560,414,915,600/6,884,684
  6. Step 6: Final answer
    x = 32,617,388.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.