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Finding the Third Proportional to 3,285,649,992,069 and 7,023,472,346,826

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Solution

The third proportional to 3,285,649,992,069 and 7,023,472,346,826 is: 15,013,517,546,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,649,992,069 : 7,023,472,346,826 = 7,023,472,346,826 : x
  2. Step 2: Convert to fraction form
    3,285,649,992,069/7,023,472,346,826 = 7,023,472,346,826/x
  3. Step 3: Cross multiply
    3,285,649,992,069x = 7,023,472,346,826 × 7,023,472,346,826
  4. Step 4: Simplify right side
    3,285,649,992,069x = 49,329,163,806,629,516,405,637,120
  5. Step 5: Solve for x
    x = 49,329,163,806,629,516,405,637,120/3,285,649,992,069
  6. Step 6: Final answer
    x = 15,013,517,546,209.04

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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.