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Finding the Third Proportional to 2,825,097 and 6,178,341

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Solution

The third proportional to 2,825,097 and 6,178,341 is: 13,511,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,097 : 6,178,341 = 6,178,341 : x
  2. Step 2: Convert to fraction form
    2,825,097/6,178,341 = 6,178,341/x
  3. Step 3: Cross multiply
    2,825,097x = 6,178,341 × 6,178,341
  4. Step 4: Simplify right side
    2,825,097x = 38,171,897,512,281
  5. Step 5: Solve for x
    x = 38,171,897,512,281/2,825,097
  6. Step 6: Final answer
    x = 13,511,712.17

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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.