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Finding the Third Proportional to 403,167,522,168 and 863,841,385,860

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Solution

The third proportional to 403,167,522,168 and 863,841,385,860 is: 1,850,897,949,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,167,522,168 : 863,841,385,860 = 863,841,385,860 : x
  2. Step 2: Convert to fraction form
    403,167,522,168/863,841,385,860 = 863,841,385,860/x
  3. Step 3: Cross multiply
    403,167,522,168x = 863,841,385,860 × 863,841,385,860
  4. Step 4: Simplify right side
    403,167,522,168x = 746,221,939,924,525,471,760,384
  5. Step 5: Solve for x
    x = 746,221,939,924,525,471,760,384/403,167,522,168
  6. Step 6: Final answer
    x = 1,850,897,949,100.11

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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.