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Finding the Third Proportional to 37,264,851.75 and 81,438,435.75

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Solution

The third proportional to 37,264,851.75 and 81,438,435.75 is: 177,975,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264,851.75 : 81,438,435.75 = 81,438,435.75 : x
  2. Step 2: Convert to fraction form
    37,264,851.75/81,438,435.75 = 81,438,435.75/x
  3. Step 3: Cross multiply
    37,264,851.75x = 81,438,435.75 × 81,438,435.75
  4. Step 4: Simplify right side
    37,264,851.75x = 6,632,218,817,406,878
  5. Step 5: Solve for x
    x = 6,632,218,817,406,878/37,264,851.75
  6. Step 6: Final answer
    x = 177,975,183.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.