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Finding the Third Proportional to 4,082,071,162,059 and 8,746,394,032,026

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Solution

The third proportional to 4,082,071,162,059 and 8,746,394,032,026 is: 18,740,341,734,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082,071,162,059 : 8,746,394,032,026 = 8,746,394,032,026 : x
  2. Step 2: Convert to fraction form
    4,082,071,162,059/8,746,394,032,026 = 8,746,394,032,026/x
  3. Step 3: Cross multiply
    4,082,071,162,059x = 8,746,394,032,026 × 8,746,394,032,026
  4. Step 4: Simplify right side
    4,082,071,162,059x = 76,499,408,563,460,025,796,788,224
  5. Step 5: Solve for x
    x = 76,499,408,563,460,025,796,788,224/4,082,071,162,059
  6. Step 6: Final answer
    x = 18,740,341,734,972.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.