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Finding the Third Proportional to 9,447,255,064 and 20,296,508,240

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Solution

The third proportional to 9,447,255,064 and 20,296,508,240 is: 43,605,073,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,255,064 : 20,296,508,240 = 20,296,508,240 : x
  2. Step 2: Convert to fraction form
    9,447,255,064/20,296,508,240 = 20,296,508,240/x
  3. Step 3: Cross multiply
    9,447,255,064x = 20,296,508,240 × 20,296,508,240
  4. Step 4: Simplify right side
    9,447,255,064x = 411,948,246,736,387,899,392
  5. Step 5: Solve for x
    x = 411,948,246,736,387,899,392/9,447,255,064
  6. Step 6: Final answer
    x = 43,605,073,002.23

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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.