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Finding the Third Proportional to 2,611,868,201,217.50 and 5,682,302,499,301.30

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Solution

The third proportional to 2,611,868,201,217.50 and 5,682,302,499,301.30 is: 12,362,247,711,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611,868,201,217.50 : 5,682,302,499,301.30 = 5,682,302,499,301.30 : x
  2. Step 2: Convert to fraction form
    2,611,868,201,217.50/5,682,302,499,301.30 = 5,682,302,499,301.30/x
  3. Step 3: Cross multiply
    2,611,868,201,217.50x = 5,682,302,499,301.30 × 5,682,302,499,301.30
  4. Step 4: Simplify right side
    2,611,868,201,217.50x = 32,288,561,693,565,799,874,166,784
  5. Step 5: Solve for x
    x = 32,288,561,693,565,799,874,166,784/2,611,868,201,217.50
  6. Step 6: Final answer
    x = 12,362,247,711,624.48

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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.