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Finding the Third Proportional to 304,772,549 and 667,771,102

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Solution

The third proportional to 304,772,549 and 667,771,102 is: 1,463,118,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,772,549 : 667,771,102 = 667,771,102 : x
  2. Step 2: Convert to fraction form
    304,772,549/667,771,102 = 667,771,102/x
  3. Step 3: Cross multiply
    304,772,549x = 667,771,102 × 667,771,102
  4. Step 4: Simplify right side
    304,772,549x = 445,918,244,666,294,400
  5. Step 5: Solve for x
    x = 445,918,244,666,294,400/304,772,549
  6. Step 6: Final answer
    x = 1,463,118,138.85

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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.