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Finding the Third Proportional to 1,802,436,092,946.80 and 3,866,525,235,775.50

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Solution

The third proportional to 1,802,436,092,946.80 and 3,866,525,235,775.50 is: 8,294,339,786,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,436,092,946.80 : 3,866,525,235,775.50 = 3,866,525,235,775.50 : x
  2. Step 2: Convert to fraction form
    1,802,436,092,946.80/3,866,525,235,775.50 = 3,866,525,235,775.50/x
  3. Step 3: Cross multiply
    1,802,436,092,946.80x = 3,866,525,235,775.50 × 3,866,525,235,775.50
  4. Step 4: Simplify right side
    1,802,436,092,946.80x = 14,950,017,398,888,786,607,210,496
  5. Step 5: Solve for x
    x = 14,950,017,398,888,786,607,210,496/1,802,436,092,946.80
  6. Step 6: Final answer
    x = 8,294,339,786,797.67

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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.