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Finding the Third Proportional to 39,158,364 and 82,984,722

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Solution

The third proportional to 39,158,364 and 82,984,722 is: 175,861,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,158,364 : 82,984,722 = 82,984,722 : x
  2. Step 2: Convert to fraction form
    39,158,364/82,984,722 = 82,984,722/x
  3. Step 3: Cross multiply
    39,158,364x = 82,984,722 × 82,984,722
  4. Step 4: Simplify right side
    39,158,364x = 6,886,464,085,417,284
  5. Step 5: Solve for x
    x = 6,886,464,085,417,284/39,158,364
  6. Step 6: Final answer
    x = 175,861,894.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.