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Finding the Third Proportional to 14,137,914,060 and 21,084,268,754

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Solution

The third proportional to 14,137,914,060 and 21,084,268,754 is: 31,443,562,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137,914,060 : 21,084,268,754 = 21,084,268,754 : x
  2. Step 2: Convert to fraction form
    14,137,914,060/21,084,268,754 = 21,084,268,754/x
  3. Step 3: Cross multiply
    14,137,914,060x = 21,084,268,754 × 21,084,268,754
  4. Step 4: Simplify right side
    14,137,914,060x = 444,546,388,890,900,692,992
  5. Step 5: Solve for x
    x = 444,546,388,890,900,692,992/14,137,914,060
  6. Step 6: Final answer
    x = 31,443,562,820.11

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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.