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Finding the Third Proportional to 4,040,470,055,175 and 8,792,225,783,598

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Solution

The third proportional to 4,040,470,055,175 and 8,792,225,783,598 is: 19,132,237,876,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040,470,055,175 : 8,792,225,783,598 = 8,792,225,783,598 : x
  2. Step 2: Convert to fraction form
    4,040,470,055,175/8,792,225,783,598 = 8,792,225,783,598/x
  3. Step 3: Cross multiply
    4,040,470,055,175x = 8,792,225,783,598 × 8,792,225,783,598
  4. Step 4: Simplify right side
    4,040,470,055,175x = 77,303,234,229,765,464,853,053,440
  5. Step 5: Solve for x
    x = 77,303,234,229,765,464,853,053,440/4,040,470,055,175
  6. Step 6: Final answer
    x = 19,132,237,876,817.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.