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Finding the Third Proportional to 9,717,435,312,993 and 20,897,311,227,642

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Solution

The third proportional to 9,717,435,312,993 and 20,897,311,227,642 is: 44,939,595,940,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,435,312,993 : 20,897,311,227,642 = 20,897,311,227,642 : x
  2. Step 2: Convert to fraction form
    9,717,435,312,993/20,897,311,227,642 = 20,897,311,227,642/x
  3. Step 3: Cross multiply
    9,717,435,312,993x = 20,897,311,227,642 × 20,897,311,227,642
  4. Step 4: Simplify right side
    9,717,435,312,993x = 436,697,616,544,932,410,488,258,560
  5. Step 5: Solve for x
    x = 436,697,616,544,932,410,488,258,560/9,717,435,312,993
  6. Step 6: Final answer
    x = 44,939,595,940,611.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.