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Finding the Third Proportional to 9,581,643,050 and 20,850,494,608

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Solution

The third proportional to 9,581,643,050 and 20,850,494,608 is: 45,372,502,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581,643,050 : 20,850,494,608 = 20,850,494,608 : x
  2. Step 2: Convert to fraction form
    9,581,643,050/20,850,494,608 = 20,850,494,608/x
  3. Step 3: Cross multiply
    9,581,643,050x = 20,850,494,608 × 20,850,494,608
  4. Step 4: Simplify right side
    9,581,643,050x = 434,743,125,398,237,085,696
  5. Step 5: Solve for x
    x = 434,743,125,398,237,085,696/9,581,643,050
  6. Step 6: Final answer
    x = 45,372,502,725.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.