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Finding the Third Proportional to 307,342,164 and 670,850,808

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Solution

The third proportional to 307,342,164 and 670,850,808 is: 1,464,298,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,342,164 : 670,850,808 = 670,850,808 : x
  2. Step 2: Convert to fraction form
    307,342,164/670,850,808 = 670,850,808/x
  3. Step 3: Cross multiply
    307,342,164x = 670,850,808 × 670,850,808
  4. Step 4: Simplify right side
    307,342,164x = 450,040,806,594,252,864
  5. Step 5: Solve for x
    x = 450,040,806,594,252,864/307,342,164
  6. Step 6: Final answer
    x = 1,464,298,945.31

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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.