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Finding the Third Proportional to 82,378,462 and 111,879,270

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Solution

The third proportional to 82,378,462 and 111,879,270 is: 151,944,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378,462 : 111,879,270 = 111,879,270 : x
  2. Step 2: Convert to fraction form
    82,378,462/111,879,270 = 111,879,270/x
  3. Step 3: Cross multiply
    82,378,462x = 111,879,270 × 111,879,270
  4. Step 4: Simplify right side
    82,378,462x = 12,516,971,055,732,900
  5. Step 5: Solve for x
    x = 12,516,971,055,732,900/82,378,462
  6. Step 6: Final answer
    x = 151,944,704.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.