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Finding the Third Proportional to 306,150,016 and 472,759,338

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Solution

The third proportional to 306,150,016 and 472,759,338 is: 730,038,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,150,016 : 472,759,338 = 472,759,338 : x
  2. Step 2: Convert to fraction form
    306,150,016/472,759,338 = 472,759,338/x
  3. Step 3: Cross multiply
    306,150,016x = 472,759,338 × 472,759,338
  4. Step 4: Simplify right side
    306,150,016x = 223,501,391,666,198,240
  5. Step 5: Solve for x
    x = 223,501,391,666,198,240/306,150,016
  6. Step 6: Final answer
    x = 730,038,804.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.