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Finding the Third Proportional to 66,603,707,610 and 143,822,891,100

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Solution

The third proportional to 66,603,707,610 and 143,822,891,100 is: 310,568,656,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,603,707,610 : 143,822,891,100 = 143,822,891,100 : x
  2. Step 2: Convert to fraction form
    66,603,707,610/143,822,891,100 = 143,822,891,100/x
  3. Step 3: Cross multiply
    66,603,707,610x = 143,822,891,100 × 143,822,891,100
  4. Step 4: Simplify right side
    66,603,707,610x = 20,685,024,004,362,458,890,240
  5. Step 5: Solve for x
    x = 20,685,024,004,362,458,890,240/66,603,707,610
  6. Step 6: Final answer
    x = 310,568,656,710.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.