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Finding the Third Proportional to 38,289,051 and 81,960,162

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Solution

The third proportional to 38,289,051 and 81,960,162 is: 175,440,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289,051 : 81,960,162 = 81,960,162 : x
  2. Step 2: Convert to fraction form
    38,289,051/81,960,162 = 81,960,162/x
  3. Step 3: Cross multiply
    38,289,051x = 81,960,162 × 81,960,162
  4. Step 4: Simplify right side
    38,289,051x = 6,717,468,155,066,244
  5. Step 5: Solve for x
    x = 6,717,468,155,066,244/38,289,051
  6. Step 6: Final answer
    x = 175,440,967.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.