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Finding the Third Proportional to 82,378,464 and 111,879,273

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Solution

The third proportional to 82,378,464 and 111,879,273 is: 151,944,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378,464 : 111,879,273 = 111,879,273 : x
  2. Step 2: Convert to fraction form
    82,378,464/111,879,273 = 111,879,273/x
  3. Step 3: Cross multiply
    82,378,464x = 111,879,273 × 111,879,273
  4. Step 4: Simplify right side
    82,378,464x = 12,516,971,727,008,528
  5. Step 5: Solve for x
    x = 12,516,971,727,008,528/82,378,464
  6. Step 6: Final answer
    x = 151,944,708.84

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Why These Related Problems?

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