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Finding the Third Proportional to 3,897,503,064 and 8,001,624,600

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Solution

The third proportional to 3,897,503,064 and 8,001,624,600 is: 16,427,439,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,503,064 : 8,001,624,600 = 8,001,624,600 : x
  2. Step 2: Convert to fraction form
    3,897,503,064/8,001,624,600 = 8,001,624,600/x
  3. Step 3: Cross multiply
    3,897,503,064x = 8,001,624,600 × 8,001,624,600
  4. Step 4: Simplify right side
    3,897,503,064x = 64,025,996,239,325,159,424
  5. Step 5: Solve for x
    x = 64,025,996,239,325,159,424/3,897,503,064
  6. Step 6: Final answer
    x = 16,427,439,616.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.