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Finding the Third Proportional to 307,915,740 and 670,037,004

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Solution

The third proportional to 307,915,740 and 670,037,004 is: 1,458,027,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,915,740 : 670,037,004 = 670,037,004 : x
  2. Step 2: Convert to fraction form
    307,915,740/670,037,004 = 670,037,004/x
  3. Step 3: Cross multiply
    307,915,740x = 670,037,004 × 670,037,004
  4. Step 4: Simplify right side
    307,915,740x = 448,949,586,729,296,000
  5. Step 5: Solve for x
    x = 448,949,586,729,296,000/307,915,740
  6. Step 6: Final answer
    x = 1,458,027,402.98

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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.