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Finding the Third Proportional to 34,242,102 and 73,332,582

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Solution

The third proportional to 34,242,102 and 73,332,582 is: 157,048,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242,102 : 73,332,582 = 73,332,582 : x
  2. Step 2: Convert to fraction form
    34,242,102/73,332,582 = 73,332,582/x
  3. Step 3: Cross multiply
    34,242,102x = 73,332,582 × 73,332,582
  4. Step 4: Simplify right side
    34,242,102x = 5,377,667,582,786,724
  5. Step 5: Solve for x
    x = 5,377,667,582,786,724/34,242,102
  6. Step 6: Final answer
    x = 157,048,407.33

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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.