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Finding the Third Proportional to 6,418,988,908 and 13,977,538,602

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Solution

The third proportional to 6,418,988,908 and 13,977,538,602 is: 30,436,504,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,988,908 : 13,977,538,602 = 13,977,538,602 : x
  2. Step 2: Convert to fraction form
    6,418,988,908/13,977,538,602 = 13,977,538,602/x
  3. Step 3: Cross multiply
    6,418,988,908x = 13,977,538,602 × 13,977,538,602
  4. Step 4: Simplify right side
    6,418,988,908x = 195,371,585,370,400,129,024
  5. Step 5: Solve for x
    x = 195,371,585,370,400,129,024/6,418,988,908
  6. Step 6: Final answer
    x = 30,436,504,591.39

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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.