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Finding the Third Proportional to 76,674,842 and 165,041,386

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Solution

The third proportional to 76,674,842 and 165,041,386 is: 355,248,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,674,842 : 165,041,386 = 165,041,386 : x
  2. Step 2: Convert to fraction form
    76,674,842/165,041,386 = 165,041,386/x
  3. Step 3: Cross multiply
    76,674,842x = 165,041,386 × 165,041,386
  4. Step 4: Simplify right side
    76,674,842x = 27,238,659,092,800,996
  5. Step 5: Solve for x
    x = 27,238,659,092,800,996/76,674,842
  6. Step 6: Final answer
    x = 355,248,975.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.