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Finding the Third Proportional to 8,573,487,777 and 18,460,658,340

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Solution

The third proportional to 8,573,487,777 and 18,460,658,340 is: 39,749,972,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573,487,777 : 18,460,658,340 = 18,460,658,340 : x
  2. Step 2: Convert to fraction form
    8,573,487,777/18,460,658,340 = 18,460,658,340/x
  3. Step 3: Cross multiply
    8,573,487,777x = 18,460,658,340 × 18,460,658,340
  4. Step 4: Simplify right side
    8,573,487,777x = 340,795,906,346,211,540,992
  5. Step 5: Solve for x
    x = 340,795,906,346,211,540,992/8,573,487,777
  6. Step 6: Final answer
    x = 39,749,972,847.74

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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.