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Finding the Third Proportional to 312,372,011 and 457,059,360

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Solution

The third proportional to 312,372,011 and 457,059,360 is: 668,764,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,372,011 : 457,059,360 = 457,059,360 : x
  2. Step 2: Convert to fraction form
    312,372,011/457,059,360 = 457,059,360/x
  3. Step 3: Cross multiply
    312,372,011x = 457,059,360 × 457,059,360
  4. Step 4: Simplify right side
    312,372,011x = 208,903,258,563,609,600
  5. Step 5: Solve for x
    x = 208,903,258,563,609,600/312,372,011
  6. Step 6: Final answer
    x = 668,764,329.73

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Why These Related Problems?

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