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Finding the Third Proportional to 527,800,496 and 1,091,806,048

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Solution

The third proportional to 527,800,496 and 1,091,806,048 is: 2,258,505,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,800,496 : 1,091,806,048 = 1,091,806,048 : x
  2. Step 2: Convert to fraction form
    527,800,496/1,091,806,048 = 1,091,806,048/x
  3. Step 3: Cross multiply
    527,800,496x = 1,091,806,048 × 1,091,806,048
  4. Step 4: Simplify right side
    527,800,496x = 1,192,040,446,449,378,304
  5. Step 5: Solve for x
    x = 1,192,040,446,449,378,304/527,800,496
  6. Step 6: Final answer
    x = 2,258,505,733.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.