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Finding the Third Proportional to 5,262,268,099 and 11,701,096,442

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Solution

The third proportional to 5,262,268,099 and 11,701,096,442 is: 26,018,373,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,268,099 : 11,701,096,442 = 11,701,096,442 : x
  2. Step 2: Convert to fraction form
    5,262,268,099/11,701,096,442 = 11,701,096,442/x
  3. Step 3: Cross multiply
    5,262,268,099x = 11,701,096,442 × 11,701,096,442
  4. Step 4: Simplify right side
    5,262,268,099x = 136,915,657,944,985,059,328
  5. Step 5: Solve for x
    x = 136,915,657,944,985,059,328/5,262,268,099
  6. Step 6: Final answer
    x = 26,018,373,706.77

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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.