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Finding the Third Proportional to 2,698,622,418 and 6,017,393,886.75

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Solution

The third proportional to 2,698,622,418 and 6,017,393,886.75 is: 13,417,597,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,622,418 : 6,017,393,886.75 = 6,017,393,886.75 : x
  2. Step 2: Convert to fraction form
    2,698,622,418/6,017,393,886.75 = 6,017,393,886.75/x
  3. Step 3: Cross multiply
    2,698,622,418x = 6,017,393,886.75 × 6,017,393,886.75
  4. Step 4: Simplify right side
    2,698,622,418x = 36,209,029,188,296,269,824
  5. Step 5: Solve for x
    x = 36,209,029,188,296,269,824/2,698,622,418
  6. Step 6: Final answer
    x = 13,417,597,418.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.