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Finding the Third Proportional to 1,616,729,949,763 and 3,478,666,850,293

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Solution

The third proportional to 1,616,729,949,763 and 3,478,666,850,293 is: 7,484,937,764,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,729,949,763 : 3,478,666,850,293 = 3,478,666,850,293 : x
  2. Step 2: Convert to fraction form
    1,616,729,949,763/3,478,666,850,293 = 3,478,666,850,293/x
  3. Step 3: Cross multiply
    1,616,729,949,763x = 3,478,666,850,293 × 3,478,666,850,293
  4. Step 4: Simplify right side
    1,616,729,949,763x = 12,101,123,055,327,421,650,698,240
  5. Step 5: Solve for x
    x = 12,101,123,055,327,421,650,698,240/1,616,729,949,763
  6. Step 6: Final answer
    x = 7,484,937,764,096.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.