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Finding the Third Proportional to 327,422,689,490.81 and 712,500,458,380.30

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Solution

The third proportional to 327,422,689,490.81 and 712,500,458,380.30 is: 1,550,463,420,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,422,689,490.81 : 712,500,458,380.30 = 712,500,458,380.30 : x
  2. Step 2: Convert to fraction form
    327,422,689,490.81/712,500,458,380.30 = 712,500,458,380.30/x
  3. Step 3: Cross multiply
    327,422,689,490.81x = 712,500,458,380.30 × 712,500,458,380.30
  4. Step 4: Simplify right side
    327,422,689,490.81x = 507,656,903,192,137,655,386,112
  5. Step 5: Solve for x
    x = 507,656,903,192,137,655,386,112/327,422,689,490.81
  6. Step 6: Final answer
    x = 1,550,463,420,789.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.