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Finding the Third Proportional to 658,142,271,214 and 1,334,790,004,400

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Solution

The third proportional to 658,142,271,214 and 1,334,790,004,400 is: 2,707,111,264,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,142,271,214 : 1,334,790,004,400 = 1,334,790,004,400 : x
  2. Step 2: Convert to fraction form
    658,142,271,214/1,334,790,004,400 = 1,334,790,004,400/x
  3. Step 3: Cross multiply
    658,142,271,214x = 1,334,790,004,400 × 1,334,790,004,400
  4. Step 4: Simplify right side
    658,142,271,214x = 1,781,664,355,846,152,148,484,096
  5. Step 5: Solve for x
    x = 1,781,664,355,846,152,148,484,096/658,142,271,214
  6. Step 6: Final answer
    x = 2,707,111,264,194.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.