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Finding the Third Proportional to 11,246,478,659 and 23,423,821,510

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Solution

The third proportional to 11,246,478,659 and 23,423,821,510 is: 48,786,418,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246,478,659 : 23,423,821,510 = 23,423,821,510 : x
  2. Step 2: Convert to fraction form
    11,246,478,659/23,423,821,510 = 23,423,821,510/x
  3. Step 3: Cross multiply
    11,246,478,659x = 23,423,821,510 × 23,423,821,510
  4. Step 4: Simplify right side
    11,246,478,659x = 548,675,414,132,338,655,232
  5. Step 5: Solve for x
    x = 548,675,414,132,338,655,232/11,246,478,659
  6. Step 6: Final answer
    x = 48,786,418,466.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.