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Finding the Third Proportional to 42,741,729.42 and 100,796,874.61

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Solution

The third proportional to 42,741,729.42 and 100,796,874.61 is: 237,707,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741,729.42 : 100,796,874.61 = 100,796,874.61 : x
  2. Step 2: Convert to fraction form
    42,741,729.42/100,796,874.61 = 100,796,874.61/x
  3. Step 3: Cross multiply
    42,741,729.42x = 100,796,874.61 × 100,796,874.61
  4. Step 4: Simplify right side
    42,741,729.42x = 10,160,009,931,017,058
  5. Step 5: Solve for x
    x = 10,160,009,931,017,058/42,741,729.42
  6. Step 6: Final answer
    x = 237,707,038.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.