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Finding the Third Proportional to 17,893,297,846 and 26,684,778,129

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Solution

The third proportional to 17,893,297,846 and 26,684,778,129 is: 39,795,759,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893,297,846 : 26,684,778,129 = 26,684,778,129 : x
  2. Step 2: Convert to fraction form
    17,893,297,846/26,684,778,129 = 26,684,778,129/x
  3. Step 3: Cross multiply
    17,893,297,846x = 26,684,778,129 × 26,684,778,129
  4. Step 4: Simplify right side
    17,893,297,846x = 712,077,383,793,956,749,312
  5. Step 5: Solve for x
    x = 712,077,383,793,956,749,312/17,893,297,846
  6. Step 6: Final answer
    x = 39,795,759,838.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.