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Finding the Third Proportional to 613,239,190,224 and 1,341,886,639,488

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Solution

The third proportional to 613,239,190,224 and 1,341,886,639,488 is: 2,936,308,999,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,239,190,224 : 1,341,886,639,488 = 1,341,886,639,488 : x
  2. Step 2: Convert to fraction form
    613,239,190,224/1,341,886,639,488 = 1,341,886,639,488/x
  3. Step 3: Cross multiply
    613,239,190,224x = 1,341,886,639,488 × 1,341,886,639,488
  4. Step 4: Simplify right side
    613,239,190,224x = 1,800,659,753,236,397,562,003,456
  5. Step 5: Solve for x
    x = 1,800,659,753,236,397,562,003,456/613,239,190,224
  6. Step 6: Final answer
    x = 2,936,308,999,721.08

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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.