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Finding the Third Proportional to 1,698,702,850,830.80 and 3,726,283,321,738.20

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Solution

The third proportional to 1,698,702,850,830.80 and 3,726,283,321,738.20 is: 8,173,994,284,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,702,850,830.80 : 3,726,283,321,738.20 = 3,726,283,321,738.20 : x
  2. Step 2: Convert to fraction form
    1,698,702,850,830.80/3,726,283,321,738.20 = 3,726,283,321,738.20/x
  3. Step 3: Cross multiply
    1,698,702,850,830.80x = 3,726,283,321,738.20 × 3,726,283,321,738.20
  4. Step 4: Simplify right side
    1,698,702,850,830.80x = 13,885,187,393,864,276,153,204,736
  5. Step 5: Solve for x
    x = 13,885,187,393,864,276,153,204,736/1,698,702,850,830.80
  6. Step 6: Final answer
    x = 8,173,994,284,564.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.