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Finding the Third Proportional to 9,256,109,199 and 14,100,726,003

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Solution

The third proportional to 9,256,109,199 and 14,100,726,003 is: 21,480,999,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256,109,199 : 14,100,726,003 = 14,100,726,003 : x
  2. Step 2: Convert to fraction form
    9,256,109,199/14,100,726,003 = 14,100,726,003/x
  3. Step 3: Cross multiply
    9,256,109,199x = 14,100,726,003 × 14,100,726,003
  4. Step 4: Simplify right side
    9,256,109,199x = 198,830,473,811,680,362,496
  5. Step 5: Solve for x
    x = 198,830,473,811,680,362,496/9,256,109,199
  6. Step 6: Final answer
    x = 21,480,999,147.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.