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Finding the Third Proportional to 411,083,379 and 970,114,999.50

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Solution

The third proportional to 411,083,379 and 970,114,999.50 is: 2,289,372,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,083,379 : 970,114,999.50 = 970,114,999.50 : x
  2. Step 2: Convert to fraction form
    411,083,379/970,114,999.50 = 970,114,999.50/x
  3. Step 3: Cross multiply
    411,083,379x = 970,114,999.50 × 970,114,999.50
  4. Step 4: Simplify right side
    411,083,379x = 941,123,112,254,884,992
  5. Step 5: Solve for x
    x = 941,123,112,254,884,992/411,083,379
  6. Step 6: Final answer
    x = 2,289,372,814.21

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Why These Related Problems?

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