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Finding the Third Proportional to 307,915,797 and 670,037,178

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Solution

The third proportional to 307,915,797 and 670,037,178 is: 1,458,027,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,915,797 : 670,037,178 = 670,037,178 : x
  2. Step 2: Convert to fraction form
    307,915,797/670,037,178 = 670,037,178/x
  3. Step 3: Cross multiply
    307,915,797x = 670,037,178 × 670,037,178
  4. Step 4: Simplify right side
    307,915,797x = 448,949,819,902,203,712
  5. Step 5: Solve for x
    x = 448,949,819,902,203,712/307,915,797
  6. Step 6: Final answer
    x = 1,458,027,890.34

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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.