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Finding the Third Proportional to 6,418,988,902 and 13,977,538,590

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Solution

The third proportional to 6,418,988,902 and 13,977,538,590 is: 30,436,504,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,988,902 : 13,977,538,590 = 13,977,538,590 : x
  2. Step 2: Convert to fraction form
    6,418,988,902/13,977,538,590 = 13,977,538,590/x
  3. Step 3: Cross multiply
    6,418,988,902x = 13,977,538,590 × 13,977,538,590
  4. Step 4: Simplify right side
    6,418,988,902x = 195,371,585,034,939,203,584
  5. Step 5: Solve for x
    x = 195,371,585,034,939,203,584/6,418,988,902
  6. Step 6: Final answer
    x = 30,436,504,567.58

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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.