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Finding the Third Proportional to 403,167,522,166 and 863,841,385,856

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Solution

The third proportional to 403,167,522,166 and 863,841,385,856 is: 1,850,897,949,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,167,522,166 : 863,841,385,856 = 863,841,385,856 : x
  2. Step 2: Convert to fraction form
    403,167,522,166/863,841,385,856 = 863,841,385,856/x
  3. Step 3: Cross multiply
    403,167,522,166x = 863,841,385,856 × 863,841,385,856
  4. Step 4: Simplify right side
    403,167,522,166x = 746,221,939,917,614,735,163,392
  5. Step 5: Solve for x
    x = 746,221,939,917,614,735,163,392/403,167,522,166
  6. Step 6: Final answer
    x = 1,850,897,949,092.15

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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.