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Finding the Third Proportional to 226,473,208,974 and 351,642,831,471

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Solution

The third proportional to 226,473,208,974 and 351,642,831,471 is: 545,992,532,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,473,208,974 : 351,642,831,471 = 351,642,831,471 : x
  2. Step 2: Convert to fraction form
    226,473,208,974/351,642,831,471 = 351,642,831,471/x
  3. Step 3: Cross multiply
    226,473,208,974x = 351,642,831,471 × 351,642,831,471
  4. Step 4: Simplify right side
    226,473,208,974x = 123,652,680,924,942,114,488,320
  5. Step 5: Solve for x
    x = 123,652,680,924,942,114,488,320/226,473,208,974
  6. Step 6: Final answer
    x = 545,992,532,561.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.