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Finding the Third Proportional to 2,825,358 and 6,188,169

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Solution

The third proportional to 2,825,358 and 6,188,169 is: 13,553,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,358 : 6,188,169 = 6,188,169 : x
  2. Step 2: Convert to fraction form
    2,825,358/6,188,169 = 6,188,169/x
  3. Step 3: Cross multiply
    2,825,358x = 6,188,169 × 6,188,169
  4. Step 4: Simplify right side
    2,825,358x = 38,293,435,572,561
  5. Step 5: Solve for x
    x = 38,293,435,572,561/2,825,358
  6. Step 6: Final answer
    x = 13,553,480.86

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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.