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Finding the Third Proportional to 378,993,197,362 and 842,723,864,998

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Solution

The third proportional to 378,993,197,362 and 842,723,864,998 is: 1,873,868,759,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,993,197,362 : 842,723,864,998 = 842,723,864,998 : x
  2. Step 2: Convert to fraction form
    378,993,197,362/842,723,864,998 = 842,723,864,998/x
  3. Step 3: Cross multiply
    378,993,197,362x = 842,723,864,998 × 842,723,864,998
  4. Step 4: Simplify right side
    378,993,197,362x = 710,183,512,637,167,303,131,136
  5. Step 5: Solve for x
    x = 710,183,512,637,167,303,131,136/378,993,197,362
  6. Step 6: Final answer
    x = 1,873,868,759,598.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.