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Finding the Third Proportional to 5,150,829,328 and 11,157,362,926

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Solution

The third proportional to 5,150,829,328 and 11,157,362,926 is: 24,168,292,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150,829,328 : 11,157,362,926 = 11,157,362,926 : x
  2. Step 2: Convert to fraction form
    5,150,829,328/11,157,362,926 = 11,157,362,926/x
  3. Step 3: Cross multiply
    5,150,829,328x = 11,157,362,926 × 11,157,362,926
  4. Step 4: Simplify right side
    5,150,829,328x = 124,486,747,462,479,282,176
  5. Step 5: Solve for x
    x = 124,486,747,462,479,282,176/5,150,829,328
  6. Step 6: Final answer
    x = 24,168,292,042.95

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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.