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Finding the Third Proportional to 11,833,362,009,519 and 25,447,604,310,255

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Solution

The third proportional to 11,833,362,009,519 and 25,447,604,310,255 is: 54,724,985,562,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833,362,009,519 : 25,447,604,310,255 = 25,447,604,310,255 : x
  2. Step 2: Convert to fraction form
    11,833,362,009,519/25,447,604,310,255 = 25,447,604,310,255/x
  3. Step 3: Cross multiply
    11,833,362,009,519x = 25,447,604,310,255 × 25,447,604,310,255
  4. Step 4: Simplify right side
    11,833,362,009,519x = 647,580,565,131,308,906,751,983,616
  5. Step 5: Solve for x
    x = 647,580,565,131,308,906,751,983,616/11,833,362,009,519
  6. Step 6: Final answer
    x = 54,724,985,562,884.14

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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.