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Finding the Third Proportional to 421,088,845.22 and 938,999,460.94

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Solution

The third proportional to 421,088,845.22 and 938,999,460.94 is: 2,093,904,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,088,845.22 : 938,999,460.94 = 938,999,460.94 : x
  2. Step 2: Convert to fraction form
    421,088,845.22/938,999,460.94 = 938,999,460.94/x
  3. Step 3: Cross multiply
    421,088,845.22x = 938,999,460.94 × 938,999,460.94
  4. Step 4: Simplify right side
    421,088,845.22x = 881,719,987,640,915,584
  5. Step 5: Solve for x
    x = 881,719,987,640,915,584/421,088,845.22
  6. Step 6: Final answer
    x = 2,093,904,879.34

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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.