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Finding the Third Proportional to 4,198,779,998 and 9,020,670,268

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Solution

The third proportional to 4,198,779,998 and 9,020,670,268 is: 19,380,032,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,779,998 : 9,020,670,268 = 9,020,670,268 : x
  2. Step 2: Convert to fraction form
    4,198,779,998/9,020,670,268 = 9,020,670,268/x
  3. Step 3: Cross multiply
    4,198,779,998x = 9,020,670,268 × 9,020,670,268
  4. Step 4: Simplify right side
    4,198,779,998x = 81,372,492,083,979,190,272
  5. Step 5: Solve for x
    x = 81,372,492,083,979,190,272/4,198,779,998
  6. Step 6: Final answer
    x = 19,380,032,324.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.