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Finding the Third Proportional to 5,842,265,576 and 13,777,684,248

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Solution

The third proportional to 5,842,265,576 and 13,777,684,248 is: 32,491,604,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842,265,576 : 13,777,684,248 = 13,777,684,248 : x
  2. Step 2: Convert to fraction form
    5,842,265,576/13,777,684,248 = 13,777,684,248/x
  3. Step 3: Cross multiply
    5,842,265,576x = 13,777,684,248 × 13,777,684,248
  4. Step 4: Simplify right side
    5,842,265,576x = 189,824,583,237,587,337,216
  5. Step 5: Solve for x
    x = 189,824,583,237,587,337,216/5,842,265,576
  6. Step 6: Final answer
    x = 32,491,604,629.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.