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Finding the Third Proportional to 30,364,666,188,096 and 46,257,431,608,728

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Solution

The third proportional to 30,364,666,188,096 and 46,257,431,608,728 is: 70,468,417,659,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364,666,188,096 : 46,257,431,608,728 = 46,257,431,608,728 : x
  2. Step 2: Convert to fraction form
    30,364,666,188,096/46,257,431,608,728 = 46,257,431,608,728/x
  3. Step 3: Cross multiply
    30,364,666,188,096x = 46,257,431,608,728 × 46,257,431,608,728
  4. Step 4: Simplify right side
    30,364,666,188,096x = 2,139,749,979,036,148,413,056,942,080
  5. Step 5: Solve for x
    x = 2,139,749,979,036,148,413,056,942,080/30,364,666,188,096
  6. Step 6: Final answer
    x = 70,468,417,659,569.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.