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Finding the Third Proportional to 48,342,718,105 and 104,032,078,781

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Solution

The third proportional to 48,342,718,105 and 104,032,078,781 is: 223,873,911,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,342,718,105 : 104,032,078,781 = 104,032,078,781 : x
  2. Step 2: Convert to fraction form
    48,342,718,105/104,032,078,781 = 104,032,078,781/x
  3. Step 3: Cross multiply
    48,342,718,105x = 104,032,078,781 × 104,032,078,781
  4. Step 4: Simplify right side
    48,342,718,105x = 10,822,673,415,496,190,132,224
  5. Step 5: Solve for x
    x = 10,822,673,415,496,190,132,224/48,342,718,105
  6. Step 6: Final answer
    x = 223,873,911,930.01

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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.