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Finding the Third Proportional to 403,167,522,170 and 863,841,385,864

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Solution

The third proportional to 403,167,522,170 and 863,841,385,864 is: 1,850,897,949,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,167,522,170 : 863,841,385,864 = 863,841,385,864 : x
  2. Step 2: Convert to fraction form
    403,167,522,170/863,841,385,864 = 863,841,385,864/x
  3. Step 3: Cross multiply
    403,167,522,170x = 863,841,385,864 × 863,841,385,864
  4. Step 4: Simplify right side
    403,167,522,170x = 746,221,939,931,436,074,139,648
  5. Step 5: Solve for x
    x = 746,221,939,931,436,074,139,648/403,167,522,170
  6. Step 6: Final answer
    x = 1,850,897,949,108.07

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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.