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Finding the Third Proportional to 5,262,268,095 and 11,701,096,434

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Solution

The third proportional to 5,262,268,095 and 11,701,096,434 is: 26,018,373,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,268,095 : 11,701,096,434 = 11,701,096,434 : x
  2. Step 2: Convert to fraction form
    5,262,268,095/11,701,096,434 = 11,701,096,434/x
  3. Step 3: Cross multiply
    5,262,268,095x = 11,701,096,434 × 11,701,096,434
  4. Step 4: Simplify right side
    5,262,268,095x = 136,915,657,757,767,516,160
  5. Step 5: Solve for x
    x = 136,915,657,757,767,516,160/5,262,268,095
  6. Step 6: Final answer
    x = 26,018,373,690.97

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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.