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Finding the Third Proportional to 52,706,315,453 and 80,294,425,811

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Solution

The third proportional to 52,706,315,453 and 80,294,425,811 is: 122,323,003,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706,315,453 : 80,294,425,811 = 80,294,425,811 : x
  2. Step 2: Convert to fraction form
    52,706,315,453/80,294,425,811 = 80,294,425,811/x
  3. Step 3: Cross multiply
    52,706,315,453x = 80,294,425,811 × 80,294,425,811
  4. Step 4: Simplify right side
    52,706,315,453x = 6,447,194,816,318,183,309,312
  5. Step 5: Solve for x
    x = 6,447,194,816,318,183,309,312/52,706,315,453
  6. Step 6: Final answer
    x = 122,323,003,626.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.