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Finding the Third Proportional to 871,043,970.38 and 1,331,561,596.50

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Solution

The third proportional to 871,043,970.38 and 1,331,561,596.50 is: 2,035,553,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,043,970.38 : 1,331,561,596.50 = 1,331,561,596.50 : x
  2. Step 2: Convert to fraction form
    871,043,970.38/1,331,561,596.50 = 1,331,561,596.50/x
  3. Step 3: Cross multiply
    871,043,970.38x = 1,331,561,596.50 × 1,331,561,596.50
  4. Step 4: Simplify right side
    871,043,970.38x = 1,773,056,285,273,628,928
  5. Step 5: Solve for x
    x = 1,773,056,285,273,628,928/871,043,970.38
  6. Step 6: Final answer
    x = 2,035,553,135.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.