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Finding the Third Proportional to 424,766,028.75 and 926,741,905.50

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Solution

The third proportional to 424,766,028.75 and 926,741,905.50 is: 2,021,937,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,766,028.75 : 926,741,905.50 = 926,741,905.50 : x
  2. Step 2: Convert to fraction form
    424,766,028.75/926,741,905.50 = 926,741,905.50/x
  3. Step 3: Cross multiply
    424,766,028.75x = 926,741,905.50 × 926,741,905.50
  4. Step 4: Simplify right side
    424,766,028.75x = 858,850,559,409,770,880
  5. Step 5: Solve for x
    x = 858,850,559,409,770,880/424,766,028.75
  6. Step 6: Final answer
    x = 2,021,937,964.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.