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Finding the Third Proportional to 82,214,848 and 180,705,408

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Solution

The third proportional to 82,214,848 and 180,705,408 is: 397,184,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,214,848 : 180,705,408 = 180,705,408 : x
  2. Step 2: Convert to fraction form
    82,214,848/180,705,408 = 180,705,408/x
  3. Step 3: Cross multiply
    82,214,848x = 180,705,408 × 180,705,408
  4. Step 4: Simplify right side
    82,214,848x = 32,654,444,480,446,464
  5. Step 5: Solve for x
    x = 32,654,444,480,446,464/82,214,848
  6. Step 6: Final answer
    x = 397,184,271.15

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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.