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Finding the Third Proportional to 1,596,257,477,478 and 3,305,663,269,812

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Solution

The third proportional to 1,596,257,477,478 and 3,305,663,269,812 is: 6,845,643,517,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,257,477,478 : 3,305,663,269,812 = 3,305,663,269,812 : x
  2. Step 2: Convert to fraction form
    1,596,257,477,478/3,305,663,269,812 = 3,305,663,269,812/x
  3. Step 3: Cross multiply
    1,596,257,477,478x = 3,305,663,269,812 × 3,305,663,269,812
  4. Step 4: Simplify right side
    1,596,257,477,478x = 10,927,409,653,384,162,603,696,128
  5. Step 5: Solve for x
    x = 10,927,409,653,384,162,603,696,128/1,596,257,477,478
  6. Step 6: Final answer
    x = 6,845,643,517,766.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.