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Finding the Third Proportional to 82,130,655 and 180,322,638

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Solution

The third proportional to 82,130,655 and 180,322,638 is: 395,908,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130,655 : 180,322,638 = 180,322,638 : x
  2. Step 2: Convert to fraction form
    82,130,655/180,322,638 = 180,322,638/x
  3. Step 3: Cross multiply
    82,130,655x = 180,322,638 × 180,322,638
  4. Step 4: Simplify right side
    82,130,655x = 32,516,253,775,279,044
  5. Step 5: Solve for x
    x = 32,516,253,775,279,044/82,130,655
  6. Step 6: Final answer
    x = 395,908,857.36

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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.