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Finding the Third Proportional to 46,694,056,792,252 and 97,252,953,199,341

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Solution

The third proportional to 46,694,056,792,252 and 97,252,953,199,341 is: 202,555,476,129,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694,056,792,252 : 97,252,953,199,341 = 97,252,953,199,341 : x
  2. Step 2: Convert to fraction form
    46,694,056,792,252/97,252,953,199,341 = 97,252,953,199,341/x
  3. Step 3: Cross multiply
    46,694,056,792,252x = 97,252,953,199,341 × 97,252,953,199,341
  4. Step 4: Simplify right side
    46,694,056,792,252x = 9,458,136,905,993,211,396,721,999,872
  5. Step 5: Solve for x
    x = 9,458,136,905,993,211,396,721,999,872/46,694,056,792,252
  6. Step 6: Final answer
    x = 202,555,476,129,943.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.