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Finding the Third Proportional to 314,640,049 and 476,327,881.50

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Solution

The third proportional to 314,640,049 and 476,327,881.50 is: 721,104,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,640,049 : 476,327,881.50 = 476,327,881.50 : x
  2. Step 2: Convert to fraction form
    314,640,049/476,327,881.50 = 476,327,881.50/x
  3. Step 3: Cross multiply
    314,640,049x = 476,327,881.50 × 476,327,881.50
  4. Step 4: Simplify right side
    314,640,049x = 226,888,250,694,278,048
  5. Step 5: Solve for x
    x = 226,888,250,694,278,048/314,640,049
  6. Step 6: Final answer
    x = 721,104,167.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.