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Finding the Third Proportional to 527,800,500 and 1,091,806,056

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Solution

The third proportional to 527,800,500 and 1,091,806,056 is: 2,258,505,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,800,500 : 1,091,806,056 = 1,091,806,056 : x
  2. Step 2: Convert to fraction form
    527,800,500/1,091,806,056 = 1,091,806,056/x
  3. Step 3: Cross multiply
    527,800,500x = 1,091,806,056 × 1,091,806,056
  4. Step 4: Simplify right side
    527,800,500x = 1,192,040,463,918,275,072
  5. Step 5: Solve for x
    x = 1,192,040,463,918,275,072/527,800,500
  6. Step 6: Final answer
    x = 2,258,505,749.65

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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.