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Finding the Third Proportional to 21,257,029,684 and 45,668,670,992

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Solution

The third proportional to 21,257,029,684 and 45,668,670,992 is: 98,114,719,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257,029,684 : 45,668,670,992 = 45,668,670,992 : x
  2. Step 2: Convert to fraction form
    21,257,029,684/45,668,670,992 = 45,668,670,992/x
  3. Step 3: Cross multiply
    21,257,029,684x = 45,668,670,992 × 45,668,670,992
  4. Step 4: Simplify right side
    21,257,029,684x = 2,085,627,510,175,542,280,192
  5. Step 5: Solve for x
    x = 2,085,627,510,175,542,280,192/21,257,029,684
  6. Step 6: Final answer
    x = 98,114,719,750.59

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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.