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Finding the Third Proportional to 430,987,873,680 and 606,155,608,989

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Solution

The third proportional to 430,987,873,680 and 606,155,608,989 is: 852,517,309,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,987,873,680 : 606,155,608,989 = 606,155,608,989 : x
  2. Step 2: Convert to fraction form
    430,987,873,680/606,155,608,989 = 606,155,608,989/x
  3. Step 3: Cross multiply
    430,987,873,680x = 606,155,608,989 × 606,155,608,989
  4. Step 4: Simplify right side
    430,987,873,680x = 367,424,622,308,825,474,531,328
  5. Step 5: Solve for x
    x = 367,424,622,308,825,474,531,328/430,987,873,680
  6. Step 6: Final answer
    x = 852,517,309,063.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.