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Finding the Third Proportional to 727,086,226.50 and 1,151,500,077

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Solution

The third proportional to 727,086,226.50 and 1,151,500,077 is: 1,823,652,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,086,226.50 : 1,151,500,077 = 1,151,500,077 : x
  2. Step 2: Convert to fraction form
    727,086,226.50/1,151,500,077 = 1,151,500,077/x
  3. Step 3: Cross multiply
    727,086,226.50x = 1,151,500,077 × 1,151,500,077
  4. Step 4: Simplify right side
    727,086,226.50x = 1,325,952,427,331,005,952
  5. Step 5: Solve for x
    x = 1,325,952,427,331,005,952/727,086,226.50
  6. Step 6: Final answer
    x = 1,823,652,242.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.