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Finding the Third Proportional to 14,137,914,145 and 21,084,268,875

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Solution

The third proportional to 14,137,914,145 and 21,084,268,875 is: 31,443,562,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137,914,145 : 21,084,268,875 = 21,084,268,875 : x
  2. Step 2: Convert to fraction form
    14,137,914,145/21,084,268,875 = 21,084,268,875/x
  3. Step 3: Cross multiply
    14,137,914,145x = 21,084,268,875 × 21,084,268,875
  4. Step 4: Simplify right side
    14,137,914,145x = 444,546,393,993,293,791,232
  5. Step 5: Solve for x
    x = 444,546,393,993,293,791,232/14,137,914,145
  6. Step 6: Final answer
    x = 31,443,562,991.96

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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.