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Finding the Third Proportional to 999,467,908,226 and 1,522,620,223,347

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Solution

The third proportional to 999,467,908,226 and 1,522,620,223,347 is: 2,319,606,588,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,467,908,226 : 1,522,620,223,347 = 1,522,620,223,347 : x
  2. Step 2: Convert to fraction form
    999,467,908,226/1,522,620,223,347 = 1,522,620,223,347/x
  3. Step 3: Cross multiply
    999,467,908,226x = 1,522,620,223,347 × 1,522,620,223,347
  4. Step 4: Simplify right side
    999,467,908,226x = 2,318,372,344,545,268,297,891,840
  5. Step 5: Solve for x
    x = 2,318,372,344,545,268,297,891,840/999,467,908,226
  6. Step 6: Final answer
    x = 2,319,606,588,129.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.