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Finding the Third Proportional to 20,993,633,542 and 46,266,438,318

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Solution

The third proportional to 20,993,633,542 and 46,266,438,318 is: 101,963,450,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993,633,542 : 46,266,438,318 = 46,266,438,318 : x
  2. Step 2: Convert to fraction form
    20,993,633,542/46,266,438,318 = 46,266,438,318/x
  3. Step 3: Cross multiply
    20,993,633,542x = 46,266,438,318 × 46,266,438,318
  4. Step 4: Simplify right side
    20,993,633,542x = 2,140,583,314,633,298,542,592
  5. Step 5: Solve for x
    x = 2,140,583,314,633,298,542,592/20,993,633,542
  6. Step 6: Final answer
    x = 101,963,450,507.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.