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Finding the Third Proportional to 518,361,309.38 and 1,142,381,160.38

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Solution

The third proportional to 518,361,309.38 and 1,142,381,160.38 is: 2,517,615,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,361,309.38 : 1,142,381,160.38 = 1,142,381,160.38 : x
  2. Step 2: Convert to fraction form
    518,361,309.38/1,142,381,160.38 = 1,142,381,160.38/x
  3. Step 3: Cross multiply
    518,361,309.38x = 1,142,381,160.38 × 1,142,381,160.38
  4. Step 4: Simplify right side
    518,361,309.38x = 1,305,034,715,579,731,456
  5. Step 5: Solve for x
    x = 1,305,034,715,579,731,456/518,361,309.38
  6. Step 6: Final answer
    x = 2,517,615,979.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.