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Finding the Third Proportional to 6,418,988,910 and 13,977,538,606

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Solution

The third proportional to 6,418,988,910 and 13,977,538,606 is: 30,436,504,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,988,910 : 13,977,538,606 = 13,977,538,606 : x
  2. Step 2: Convert to fraction form
    6,418,988,910/13,977,538,606 = 13,977,538,606/x
  3. Step 3: Cross multiply
    6,418,988,910x = 13,977,538,606 × 13,977,538,606
  4. Step 4: Simplify right side
    6,418,988,910x = 195,371,585,482,220,437,504
  5. Step 5: Solve for x
    x = 195,371,585,482,220,437,504/6,418,988,910
  6. Step 6: Final answer
    x = 30,436,504,599.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.