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Finding the Third Proportional to 14,137,914,143 and 21,084,268,872

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Solution

The third proportional to 14,137,914,143 and 21,084,268,872 is: 31,443,562,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137,914,143 : 21,084,268,872 = 21,084,268,872 : x
  2. Step 2: Convert to fraction form
    14,137,914,143/21,084,268,872 = 21,084,268,872/x
  3. Step 3: Cross multiply
    14,137,914,143x = 21,084,268,872 × 21,084,268,872
  4. Step 4: Simplify right side
    14,137,914,143x = 444,546,393,866,788,143,104
  5. Step 5: Solve for x
    x = 444,546,393,866,788,143,104/14,137,914,143
  6. Step 6: Final answer
    x = 31,443,562,987.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.