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Finding the Third Proportional to 20,993,633,658 and 46,266,438,562

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Solution

The third proportional to 20,993,633,658 and 46,266,438,562 is: 101,963,451,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993,633,658 : 46,266,438,562 = 46,266,438,562 : x
  2. Step 2: Convert to fraction form
    20,993,633,658/46,266,438,562 = 46,266,438,562/x
  3. Step 3: Cross multiply
    20,993,633,658x = 46,266,438,562 × 46,266,438,562
  4. Step 4: Simplify right side
    20,993,633,658x = 2,140,583,337,211,320,598,528
  5. Step 5: Solve for x
    x = 2,140,583,337,211,320,598,528/20,993,633,658
  6. Step 6: Final answer
    x = 101,963,451,019.62

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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.