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Finding the Third Proportional to 353,989,628,504 and 778,586,641,108

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Solution

The third proportional to 353,989,628,504 and 778,586,641,108 is: 1,712,471,521,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,989,628,504 : 778,586,641,108 = 778,586,641,108 : x
  2. Step 2: Convert to fraction form
    353,989,628,504/778,586,641,108 = 778,586,641,108/x
  3. Step 3: Cross multiply
    353,989,628,504x = 778,586,641,108 × 778,586,641,108
  4. Step 4: Simplify right side
    353,989,628,504x = 606,197,157,711,837,604,610,048
  5. Step 5: Solve for x
    x = 606,197,157,711,837,604,610,048/353,989,628,504
  6. Step 6: Final answer
    x = 1,712,471,521,478.45

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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.