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Finding the Third Proportional to 3,987,800,480 and 8,726,152,000

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Solution

The third proportional to 3,987,800,480 and 8,726,152,000 is: 19,094,668,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987,800,480 : 8,726,152,000 = 8,726,152,000 : x
  2. Step 2: Convert to fraction form
    3,987,800,480/8,726,152,000 = 8,726,152,000/x
  3. Step 3: Cross multiply
    3,987,800,480x = 8,726,152,000 × 8,726,152,000
  4. Step 4: Simplify right side
    3,987,800,480x = 76,145,728,727,103,995,904
  5. Step 5: Solve for x
    x = 76,145,728,727,103,995,904/3,987,800,480
  6. Step 6: Final answer
    x = 19,094,668,629.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.