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Finding the Third Proportional to 68,877,648,043 and 106,942,864,962

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Solution

The third proportional to 68,877,648,043 and 106,942,864,962 is: 166,044,815,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,877,648,043 : 106,942,864,962 = 106,942,864,962 : x
  2. Step 2: Convert to fraction form
    68,877,648,043/106,942,864,962 = 106,942,864,962/x
  3. Step 3: Cross multiply
    68,877,648,043x = 106,942,864,962 × 106,942,864,962
  4. Step 4: Simplify right side
    68,877,648,043x = 11,436,776,366,280,567,422,976
  5. Step 5: Solve for x
    x = 11,436,776,366,280,567,422,976/68,877,648,043
  6. Step 6: Final answer
    x = 166,044,815,571.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.