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Finding the Third Proportional to 305,052,773 and 667,146,877

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Solution

The third proportional to 305,052,773 and 667,146,877 is: 1,459,042,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052,773 : 667,146,877 = 667,146,877 : x
  2. Step 2: Convert to fraction form
    305,052,773/667,146,877 = 667,146,877/x
  3. Step 3: Cross multiply
    305,052,773x = 667,146,877 × 667,146,877
  4. Step 4: Simplify right side
    305,052,773x = 445,084,955,490,853,120
  5. Step 5: Solve for x
    x = 445,084,955,490,853,120/305,052,773
  6. Step 6: Final answer
    x = 1,459,042,483.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.