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Finding the Third Proportional to 613,239,190,240 and 1,341,886,639,518

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Solution

The third proportional to 613,239,190,240 and 1,341,886,639,518 is: 2,936,308,999,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,239,190,240 : 1,341,886,639,518 = 1,341,886,639,518 : x
  2. Step 2: Convert to fraction form
    613,239,190,240/1,341,886,639,518 = 1,341,886,639,518/x
  3. Step 3: Cross multiply
    613,239,190,240x = 1,341,886,639,518 × 1,341,886,639,518
  4. Step 4: Simplify right side
    613,239,190,240x = 1,800,659,753,316,910,750,498,816
  5. Step 5: Solve for x
    x = 1,800,659,753,316,910,750,498,816/613,239,190,240
  6. Step 6: Final answer
    x = 2,936,308,999,775.76

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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.