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Finding the Third Proportional to 44,917,399,738 and 69,773,260,091

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Solution

The third proportional to 44,917,399,738 and 69,773,260,091 is: 108,383,562,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,917,399,738 : 69,773,260,091 = 69,773,260,091 : x
  2. Step 2: Convert to fraction form
    44,917,399,738/69,773,260,091 = 69,773,260,091/x
  3. Step 3: Cross multiply
    44,917,399,738x = 69,773,260,091 × 69,773,260,091
  4. Step 4: Simplify right side
    44,917,399,738x = 4,868,307,823,726,333,788,160
  5. Step 5: Solve for x
    x = 4,868,307,823,726,333,788,160/44,917,399,738
  6. Step 6: Final answer
    x = 108,383,562,987.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.