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Finding the Third Proportional to 22,001,688,198 and 47,658,503,616

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Solution

The third proportional to 22,001,688,198 and 47,658,503,616 is: 103,234,485,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001,688,198 : 47,658,503,616 = 47,658,503,616 : x
  2. Step 2: Convert to fraction form
    22,001,688,198/47,658,503,616 = 47,658,503,616/x
  3. Step 3: Cross multiply
    22,001,688,198x = 47,658,503,616 × 47,658,503,616
  4. Step 4: Simplify right side
    22,001,688,198x = 2,271,332,966,916,285,005,824
  5. Step 5: Solve for x
    x = 2,271,332,966,916,285,005,824/22,001,688,198
  6. Step 6: Final answer
    x = 103,234,485,757.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.