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Finding the Third Proportional to 3,104,452,216,917 and 6,755,559,999,173

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Solution

The third proportional to 3,104,452,216,917 and 6,755,559,999,173 is: 14,700,690,399,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,452,216,917 : 6,755,559,999,173 = 6,755,559,999,173 : x
  2. Step 2: Convert to fraction form
    3,104,452,216,917/6,755,559,999,173 = 6,755,559,999,173/x
  3. Step 3: Cross multiply
    3,104,452,216,917x = 6,755,559,999,173 × 6,755,559,999,173
  4. Step 4: Simplify right side
    3,104,452,216,917x = 45,637,590,902,426,307,229,908,992
  5. Step 5: Solve for x
    x = 45,637,590,902,426,307,229,908,992/3,104,452,216,917
  6. Step 6: Final answer
    x = 14,700,690,399,979.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.