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Finding the Third Proportional to 15,226,454,860 and 23,277,322,861

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Solution

The third proportional to 15,226,454,860 and 23,277,322,861 is: 35,585,023,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226,454,860 : 23,277,322,861 = 23,277,322,861 : x
  2. Step 2: Convert to fraction form
    15,226,454,860/23,277,322,861 = 23,277,322,861/x
  3. Step 3: Cross multiply
    15,226,454,860x = 23,277,322,861 × 23,277,322,861
  4. Step 4: Simplify right side
    15,226,454,860x = 541,833,759,575,233,200,128
  5. Step 5: Solve for x
    x = 541,833,759,575,233,200,128/15,226,454,860
  6. Step 6: Final answer
    x = 35,585,023,865.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.