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Finding the Third Proportional to 314,640,048 and 476,327,880

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Solution

The third proportional to 314,640,048 and 476,327,880 is: 721,104,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,640,048 : 476,327,880 = 476,327,880 : x
  2. Step 2: Convert to fraction form
    314,640,048/476,327,880 = 476,327,880/x
  3. Step 3: Cross multiply
    314,640,048x = 476,327,880 × 476,327,880
  4. Step 4: Simplify right side
    314,640,048x = 226,888,249,265,294,400
  5. Step 5: Solve for x
    x = 226,888,249,265,294,400/314,640,048
  6. Step 6: Final answer
    x = 721,104,165.56

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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.