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Finding the Third Proportional to 2,001,641,293.41 and 4,168,955,628

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Solution

The third proportional to 2,001,641,293.41 and 4,168,955,628 is: 8,682,969,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,641,293.41 : 4,168,955,628 = 4,168,955,628 : x
  2. Step 2: Convert to fraction form
    2,001,641,293.41/4,168,955,628 = 4,168,955,628/x
  3. Step 3: Cross multiply
    2,001,641,293.41x = 4,168,955,628 × 4,168,955,628
  4. Step 4: Simplify right side
    2,001,641,293.41x = 17,380,191,028,232,873,984
  5. Step 5: Solve for x
    x = 17,380,191,028,232,873,984/2,001,641,293.41
  6. Step 6: Final answer
    x = 8,682,969,863.52

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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.