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Finding the Third Proportional to 658,142,271,211 and 1,334,790,004,394

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Solution

The third proportional to 658,142,271,211 and 1,334,790,004,394 is: 2,707,111,264,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,142,271,211 : 1,334,790,004,394 = 1,334,790,004,394 : x
  2. Step 2: Convert to fraction form
    658,142,271,211/1,334,790,004,394 = 1,334,790,004,394/x
  3. Step 3: Cross multiply
    658,142,271,211x = 1,334,790,004,394 × 1,334,790,004,394
  4. Step 4: Simplify right side
    658,142,271,211x = 1,781,664,355,830,134,604,824,576
  5. Step 5: Solve for x
    x = 1,781,664,355,830,134,604,824,576/658,142,271,211
  6. Step 6: Final answer
    x = 2,707,111,264,182.78

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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.