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Finding the Third Proportional to 39,158,307 and 82,984,611

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Solution

The third proportional to 39,158,307 and 82,984,611 is: 175,861,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,158,307 : 82,984,611 = 82,984,611 : x
  2. Step 2: Convert to fraction form
    39,158,307/82,984,611 = 82,984,611/x
  3. Step 3: Cross multiply
    39,158,307x = 82,984,611 × 82,984,611
  4. Step 4: Simplify right side
    39,158,307x = 6,886,445,662,821,321
  5. Step 5: Solve for x
    x = 6,886,445,662,821,321/39,158,307
  6. Step 6: Final answer
    x = 175,861,680.20

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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.