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Finding the Third Proportional to 1,802,436,092,932.50 and 3,866,525,235,750.80

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Solution

The third proportional to 1,802,436,092,932.50 and 3,866,525,235,750.80 is: 8,294,339,786,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,436,092,932.50 : 3,866,525,235,750.80 = 3,866,525,235,750.80 : x
  2. Step 2: Convert to fraction form
    1,802,436,092,932.50/3,866,525,235,750.80 = 3,866,525,235,750.80/x
  3. Step 3: Cross multiply
    1,802,436,092,932.50x = 3,866,525,235,750.80 × 3,866,525,235,750.80
  4. Step 4: Simplify right side
    1,802,436,092,932.50x = 14,950,017,398,697,778,674,139,136
  5. Step 5: Solve for x
    x = 14,950,017,398,697,778,674,139,136/1,802,436,092,932.50
  6. Step 6: Final answer
    x = 8,294,339,786,757.50

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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.