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Finding the Third Proportional to 403,167,534,872 and 863,841,410,240

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Solution

The third proportional to 403,167,534,872 and 863,841,410,240 is: 1,850,897,995,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,167,534,872 : 863,841,410,240 = 863,841,410,240 : x
  2. Step 2: Convert to fraction form
    403,167,534,872/863,841,410,240 = 863,841,410,240/x
  3. Step 3: Cross multiply
    403,167,534,872x = 863,841,410,240 × 863,841,410,240
  4. Step 4: Simplify right side
    403,167,534,872x = 746,221,982,045,432,012,865,536
  5. Step 5: Solve for x
    x = 746,221,982,045,432,012,865,536/403,167,534,872
  6. Step 6: Final answer
    x = 1,850,897,995,252.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.