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Finding the Third Proportional to 421,090,321.50 and 939,002,953.50

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Solution

The third proportional to 421,090,321.50 and 939,002,953.50 is: 2,093,913,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,090,321.50 : 939,002,953.50 = 939,002,953.50 : x
  2. Step 2: Convert to fraction form
    421,090,321.50/939,002,953.50 = 939,002,953.50/x
  3. Step 3: Cross multiply
    421,090,321.50x = 939,002,953.50 × 939,002,953.50
  4. Step 4: Simplify right side
    421,090,321.50x = 881,726,546,681,723,136
  5. Step 5: Solve for x
    x = 881,726,546,681,723,136/421,090,321.50
  6. Step 6: Final answer
    x = 2,093,913,114.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.