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Finding the Third Proportional to 1,697,483,169,639 and 3,702,192,928,251

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Solution

The third proportional to 1,697,483,169,639 and 3,702,192,928,251 is: 8,074,443,813,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,483,169,639 : 3,702,192,928,251 = 3,702,192,928,251 : x
  2. Step 2: Convert to fraction form
    1,697,483,169,639/3,702,192,928,251 = 3,702,192,928,251/x
  3. Step 3: Cross multiply
    1,697,483,169,639x = 3,702,192,928,251 × 3,702,192,928,251
  4. Step 4: Simplify right side
    1,697,483,169,639x = 13,706,232,477,991,715,016,278,016
  5. Step 5: Solve for x
    x = 13,706,232,477,991,715,016,278,016/1,697,483,169,639
  6. Step 6: Final answer
    x = 8,074,443,813,723.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.