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Finding the Third Proportional to 353,989,628,500 and 778,586,641,100

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Solution

The third proportional to 353,989,628,500 and 778,586,641,100 is: 1,712,471,521,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,989,628,500 : 778,586,641,100 = 778,586,641,100 : x
  2. Step 2: Convert to fraction form
    353,989,628,500/778,586,641,100 = 778,586,641,100/x
  3. Step 3: Cross multiply
    353,989,628,500x = 778,586,641,100 × 778,586,641,100
  4. Step 4: Simplify right side
    353,989,628,500x = 606,197,157,699,380,186,185,728
  5. Step 5: Solve for x
    x = 606,197,157,699,380,186,185,728/353,989,628,500
  6. Step 6: Final answer
    x = 1,712,471,521,462.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.