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Finding the Third Proportional to 182,407,645,668 and 392,267,014,758

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Solution

The third proportional to 182,407,645,668 and 392,267,014,758 is: 843,568,866,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,407,645,668 : 392,267,014,758 = 392,267,014,758 : x
  2. Step 2: Convert to fraction form
    182,407,645,668/392,267,014,758 = 392,267,014,758/x
  3. Step 3: Cross multiply
    182,407,645,668x = 392,267,014,758 × 392,267,014,758
  4. Step 4: Simplify right side
    182,407,645,668x = 153,873,410,867,152,998,629,376
  5. Step 5: Solve for x
    x = 153,873,410,867,152,998,629,376/182,407,645,668
  6. Step 6: Final answer
    x = 843,568,866,335.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.