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Finding the Third Proportional to 4,190,682,338 and 9,125,382,076

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Solution

The third proportional to 4,190,682,338 and 9,125,382,076 is: 19,870,892,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,682,338 : 9,125,382,076 = 9,125,382,076 : x
  2. Step 2: Convert to fraction form
    4,190,682,338/9,125,382,076 = 9,125,382,076/x
  3. Step 3: Cross multiply
    4,190,682,338x = 9,125,382,076 × 9,125,382,076
  4. Step 4: Simplify right side
    4,190,682,338x = 83,272,598,032,982,065,152
  5. Step 5: Solve for x
    x = 83,272,598,032,982,065,152/4,190,682,338
  6. Step 6: Final answer
    x = 19,870,892,450.59

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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.