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Finding the Third Proportional to 41,323,665,665,100 and 88,779,896,338,922

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Solution

The third proportional to 41,323,665,665,100 and 88,779,896,338,922 is: 190,735,015,083,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,323,665,665,100 : 88,779,896,338,922 = 88,779,896,338,922 : x
  2. Step 2: Convert to fraction form
    41,323,665,665,100/88,779,896,338,922 = 88,779,896,338,922/x
  3. Step 3: Cross multiply
    41,323,665,665,100x = 88,779,896,338,922 × 88,779,896,338,922
  4. Step 4: Simplify right side
    41,323,665,665,100x = 7,881,869,993,949,736,177,848,287,232
  5. Step 5: Solve for x
    x = 7,881,869,993,949,736,177,848,287,232/41,323,665,665,100
  6. Step 6: Final answer
    x = 190,735,015,083,775.31

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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.