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Finding the Third Proportional to 1,059,023,037 and 2,308,729,806

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Solution

The third proportional to 1,059,023,037 and 2,308,729,806 is: 5,033,160,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,023,037 : 2,308,729,806 = 2,308,729,806 : x
  2. Step 2: Convert to fraction form
    1,059,023,037/2,308,729,806 = 2,308,729,806/x
  3. Step 3: Cross multiply
    1,059,023,037x = 2,308,729,806 × 2,308,729,806
  4. Step 4: Simplify right side
    1,059,023,037x = 5,330,233,317,112,797,184
  5. Step 5: Solve for x
    x = 5,330,233,317,112,797,184/1,059,023,037
  6. Step 6: Final answer
    x = 5,033,160,876.47

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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.