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Finding the Third Proportional to 421,969,492,267 and 905,194,751,127

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Solution

The third proportional to 421,969,492,267 and 905,194,751,127 is: 1,941,793,310,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969,492,267 : 905,194,751,127 = 905,194,751,127 : x
  2. Step 2: Convert to fraction form
    421,969,492,267/905,194,751,127 = 905,194,751,127/x
  3. Step 3: Cross multiply
    421,969,492,267x = 905,194,751,127 × 905,194,751,127
  4. Step 4: Simplify right side
    421,969,492,267x = 819,377,537,467,871,448,268,800
  5. Step 5: Solve for x
    x = 819,377,537,467,871,448,268,800/421,969,492,267
  6. Step 6: Final answer
    x = 1,941,793,310,852.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.