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Finding the Third Proportional to 161,420,569,621 and 346,796,471,079

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Solution

The third proportional to 161,420,569,621 and 346,796,471,079 is: 745,058,654,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,420,569,621 : 346,796,471,079 = 346,796,471,079 : x
  2. Step 2: Convert to fraction form
    161,420,569,621/346,796,471,079 = 346,796,471,079/x
  3. Step 3: Cross multiply
    161,420,569,621x = 346,796,471,079 × 346,796,471,079
  4. Step 4: Simplify right side
    161,420,569,621x = 120,267,792,352,847,679,455,232
  5. Step 5: Solve for x
    x = 120,267,792,352,847,679,455,232/161,420,569,621
  6. Step 6: Final answer
    x = 745,058,654,143.18

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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.