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Finding the Third Proportional to 312,372,009 and 457,059,357

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Solution

The third proportional to 312,372,009 and 457,059,357 is: 668,764,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,372,009 : 457,059,357 = 457,059,357 : x
  2. Step 2: Convert to fraction form
    312,372,009/457,059,357 = 457,059,357/x
  3. Step 3: Cross multiply
    312,372,009x = 457,059,357 × 457,059,357
  4. Step 4: Simplify right side
    312,372,009x = 208,903,255,821,253,440
  5. Step 5: Solve for x
    x = 208,903,255,821,253,440/312,372,009
  6. Step 6: Final answer
    x = 668,764,325.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.