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Finding the Third Proportional to 307,342,163 and 670,850,806

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Solution

The third proportional to 307,342,163 and 670,850,806 is: 1,464,298,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,342,163 : 670,850,806 = 670,850,806 : x
  2. Step 2: Convert to fraction form
    307,342,163/670,850,806 = 670,850,806/x
  3. Step 3: Cross multiply
    307,342,163x = 670,850,806 × 670,850,806
  4. Step 4: Simplify right side
    307,342,163x = 450,040,803,910,849,664
  5. Step 5: Solve for x
    x = 450,040,803,910,849,664/307,342,163
  6. Step 6: Final answer
    x = 1,464,298,941.34

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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.