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Finding the Third Proportional to 366,019,996 and 557,606,166

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Solution

The third proportional to 366,019,996 and 557,606,166 is: 849,474,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,019,996 : 557,606,166 = 557,606,166 : x
  2. Step 2: Convert to fraction form
    366,019,996/557,606,166 = 557,606,166/x
  3. Step 3: Cross multiply
    366,019,996x = 557,606,166 × 557,606,166
  4. Step 4: Simplify right side
    366,019,996x = 310,924,636,361,219,584
  5. Step 5: Solve for x
    x = 310,924,636,361,219,584/366,019,996
  6. Step 6: Final answer
    x = 849,474,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.