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Finding the Third Proportional to 42,570,607.50 and 65,770,872.75

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Solution

The third proportional to 42,570,607.50 and 65,770,872.75 is: 101,614,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570,607.50 : 65,770,872.75 = 65,770,872.75 : x
  2. Step 2: Convert to fraction form
    42,570,607.50/65,770,872.75 = 65,770,872.75/x
  3. Step 3: Cross multiply
    42,570,607.50x = 65,770,872.75 × 65,770,872.75
  4. Step 4: Simplify right side
    42,570,607.50x = 4,325,807,702,296,692.50
  5. Step 5: Solve for x
    x = 4,325,807,702,296,692.50/42,570,607.50
  6. Step 6: Final answer
    x = 101,614,892.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.