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Finding the Third Proportional to 7,993,471,732,620 and 17,519,344,371,492

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Solution

The third proportional to 7,993,471,732,620 and 17,519,344,371,492 is: 38,397,261,849,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993,471,732,620 : 17,519,344,371,492 = 17,519,344,371,492 : x
  2. Step 2: Convert to fraction form
    7,993,471,732,620/17,519,344,371,492 = 17,519,344,371,492/x
  3. Step 3: Cross multiply
    7,993,471,732,620x = 17,519,344,371,492 × 17,519,344,371,492
  4. Step 4: Simplify right side
    7,993,471,732,620x = 306,927,427,206,928,415,651,266,560
  5. Step 5: Solve for x
    x = 306,927,427,206,928,415,651,266,560/7,993,471,732,620
  6. Step 6: Final answer
    x = 38,397,261,849,868.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.