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Finding the Third Proportional to 1,802,436,092,945.50 and 3,866,525,235,772.20

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Solution

The third proportional to 1,802,436,092,945.50 and 3,866,525,235,772.20 is: 8,294,339,786,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,436,092,945.50 : 3,866,525,235,772.20 = 3,866,525,235,772.20 : x
  2. Step 2: Convert to fraction form
    1,802,436,092,945.50/3,866,525,235,772.20 = 3,866,525,235,772.20/x
  3. Step 3: Cross multiply
    1,802,436,092,945.50x = 3,866,525,235,772.20 × 3,866,525,235,772.20
  4. Step 4: Simplify right side
    1,802,436,092,945.50x = 14,950,017,398,863,268,059,021,312
  5. Step 5: Solve for x
    x = 14,950,017,398,863,268,059,021,312/1,802,436,092,945.50
  6. Step 6: Final answer
    x = 8,294,339,786,789.49

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