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Finding the Third Proportional to 82,130,659 and 180,322,646

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Solution

The third proportional to 82,130,659 and 180,322,646 is: 395,908,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130,659 : 180,322,646 = 180,322,646 : x
  2. Step 2: Convert to fraction form
    82,130,659/180,322,646 = 180,322,646/x
  3. Step 3: Cross multiply
    82,130,659x = 180,322,646 × 180,322,646
  4. Step 4: Simplify right side
    82,130,659x = 32,516,256,660,441,316
  5. Step 5: Solve for x
    x = 32,516,256,660,441,316/82,130,659
  6. Step 6: Final answer
    x = 395,908,873.21

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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.