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Finding the Third Proportional to 312,372,106 and 457,059,483

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Solution

The third proportional to 312,372,106 and 457,059,483 is: 668,764,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,372,106 : 457,059,483 = 457,059,483 : x
  2. Step 2: Convert to fraction form
    312,372,106/457,059,483 = 457,059,483/x
  3. Step 3: Cross multiply
    312,372,106x = 457,059,483 × 457,059,483
  4. Step 4: Simplify right side
    312,372,106x = 208,903,371,000,227,296
  5. Step 5: Solve for x
    x = 208,903,371,000,227,296/312,372,106
  6. Step 6: Final answer
    x = 668,764,486.29

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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.