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Finding the Third Proportional to 439,059,771 and 867,015,409.50

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Solution

The third proportional to 439,059,771 and 867,015,409.50 is: 1,712,103,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,059,771 : 867,015,409.50 = 867,015,409.50 : x
  2. Step 2: Convert to fraction form
    439,059,771/867,015,409.50 = 867,015,409.50/x
  3. Step 3: Cross multiply
    439,059,771x = 867,015,409.50 × 867,015,409.50
  4. Step 4: Simplify right side
    439,059,771x = 751,715,720,310,452,736
  5. Step 5: Solve for x
    x = 751,715,720,310,452,736/439,059,771
  6. Step 6: Final answer
    x = 1,712,103,385.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.