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Finding the Third Proportional to 34,678,872 and 76,222,224

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Solution

The third proportional to 34,678,872 and 76,222,224 is: 167,532,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678,872 : 76,222,224 = 76,222,224 : x
  2. Step 2: Convert to fraction form
    34,678,872/76,222,224 = 76,222,224/x
  3. Step 3: Cross multiply
    34,678,872x = 76,222,224 × 76,222,224
  4. Step 4: Simplify right side
    34,678,872x = 5,809,827,431,506,176
  5. Step 5: Solve for x
    x = 5,809,827,431,506,176/34,678,872
  6. Step 6: Final answer
    x = 167,532,191.69

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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.