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Finding the Third Proportional to 865,373,520 and 1,861,963,782

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Solution

The third proportional to 865,373,520 and 1,861,963,782 is: 4,006,257,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,373,520 : 1,861,963,782 = 1,861,963,782 : x
  2. Step 2: Convert to fraction form
    865,373,520/1,861,963,782 = 1,861,963,782/x
  3. Step 3: Cross multiply
    865,373,520x = 1,861,963,782 × 1,861,963,782
  4. Step 4: Simplify right side
    865,373,520x = 3,466,909,125,479,743,488
  5. Step 5: Solve for x
    x = 3,466,909,125,479,743,488/865,373,520
  6. Step 6: Final answer
    x = 4,006,257,466.12

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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.