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Finding the Third Proportional to 613,239,190,116 and 1,341,886,639,233

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Solution

The third proportional to 613,239,190,116 and 1,341,886,639,233 is: 2,936,308,999,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,239,190,116 : 1,341,886,639,233 = 1,341,886,639,233 : x
  2. Step 2: Convert to fraction form
    613,239,190,116/1,341,886,639,233 = 1,341,886,639,233/x
  3. Step 3: Cross multiply
    613,239,190,116x = 1,341,886,639,233 × 1,341,886,639,233
  4. Step 4: Simplify right side
    613,239,190,116x = 1,800,659,752,552,035,594,010,624
  5. Step 5: Solve for x
    x = 1,800,659,752,552,035,594,010,624/613,239,190,116
  6. Step 6: Final answer
    x = 2,936,308,999,122.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.