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Finding the Third Proportional to 5,262,268,516 and 11,701,097,266

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Solution

The third proportional to 5,262,268,516 and 11,701,097,266 is: 26,018,375,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,268,516 : 11,701,097,266 = 11,701,097,266 : x
  2. Step 2: Convert to fraction form
    5,262,268,516/11,701,097,266 = 11,701,097,266/x
  3. Step 3: Cross multiply
    5,262,268,516x = 11,701,097,266 × 11,701,097,266
  4. Step 4: Simplify right side
    5,262,268,516x = 136,915,677,228,392,677,376
  5. Step 5: Solve for x
    x = 136,915,677,228,392,677,376/5,262,268,516
  6. Step 6: Final answer
    x = 26,018,375,309.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.