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Finding the Third Proportional to 4,163,084,037 and 9,089,043,834

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Solution

The third proportional to 4,163,084,037 and 9,089,043,834 is: 19,843,634,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163,084,037 : 9,089,043,834 = 9,089,043,834 : x
  2. Step 2: Convert to fraction form
    4,163,084,037/9,089,043,834 = 9,089,043,834/x
  3. Step 3: Cross multiply
    4,163,084,037x = 9,089,043,834 × 9,089,043,834
  4. Step 4: Simplify right side
    4,163,084,037x = 82,610,717,816,373,411,840
  5. Step 5: Solve for x
    x = 82,610,717,816,373,411,840/4,163,084,037
  6. Step 6: Final answer
    x = 19,843,634,450.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.