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Finding the Third Proportional to 901,305,483.19 and 1,921,661,131.50

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Solution

The third proportional to 901,305,483.19 and 1,921,661,131.50 is: 4,097,147,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,305,483.19 : 1,921,661,131.50 = 1,921,661,131.50 : x
  2. Step 2: Convert to fraction form
    901,305,483.19/1,921,661,131.50 = 1,921,661,131.50/x
  3. Step 3: Cross multiply
    901,305,483.19x = 1,921,661,131.50 × 1,921,661,131.50
  4. Step 4: Simplify right side
    901,305,483.19x = 3,692,781,504,317,860,352
  5. Step 5: Solve for x
    x = 3,692,781,504,317,860,352/901,305,483.19
  6. Step 6: Final answer
    x = 4,097,147,496.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.