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Finding the Third Proportional to 6,281,809,812 and 13,610,516,556

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Solution

The third proportional to 6,281,809,812 and 13,610,516,556 is: 29,489,297,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,809,812 : 13,610,516,556 = 13,610,516,556 : x
  2. Step 2: Convert to fraction form
    6,281,809,812/13,610,516,556 = 13,610,516,556/x
  3. Step 3: Cross multiply
    6,281,809,812x = 13,610,516,556 × 13,610,516,556
  4. Step 4: Simplify right side
    6,281,809,812x = 185,246,160,921,150,095,360
  5. Step 5: Solve for x
    x = 185,246,160,921,150,095,360/6,281,809,812
  6. Step 6: Final answer
    x = 29,489,297,903.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.