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Finding the Third Proportional to 82,130,652 and 180,322,632

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Solution

The third proportional to 82,130,652 and 180,322,632 is: 395,908,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130,652 : 180,322,632 = 180,322,632 : x
  2. Step 2: Convert to fraction form
    82,130,652/180,322,632 = 180,322,632/x
  3. Step 3: Cross multiply
    82,130,652x = 180,322,632 × 180,322,632
  4. Step 4: Simplify right side
    82,130,652x = 32,516,251,611,407,424
  5. Step 5: Solve for x
    x = 32,516,251,611,407,424/82,130,652
  6. Step 6: Final answer
    x = 395,908,845.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.