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Finding the Third Proportional to 29,980,143,656 and 46,571,351,568

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Solution

The third proportional to 29,980,143,656 and 46,571,351,568 is: 72,344,242,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980,143,656 : 46,571,351,568 = 46,571,351,568 : x
  2. Step 2: Convert to fraction form
    29,980,143,656/46,571,351,568 = 46,571,351,568/x
  3. Step 3: Cross multiply
    29,980,143,656x = 46,571,351,568 × 46,571,351,568
  4. Step 4: Simplify right side
    29,980,143,656x = 2,168,890,786,870,255,943,680
  5. Step 5: Solve for x
    x = 2,168,890,786,870,255,943,680/29,980,143,656
  6. Step 6: Final answer
    x = 72,344,242,634.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.