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Finding the Third Proportional to 405,172,800 and 824,664,672

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Solution

The third proportional to 405,172,800 and 824,664,672 is: 1,678,473,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,172,800 : 824,664,672 = 824,664,672 : x
  2. Step 2: Convert to fraction form
    405,172,800/824,664,672 = 824,664,672/x
  3. Step 3: Cross multiply
    405,172,800x = 824,664,672 × 824,664,672
  4. Step 4: Simplify right side
    405,172,800x = 680,071,821,244,867,584
  5. Step 5: Solve for x
    x = 680,071,821,244,867,584/405,172,800
  6. Step 6: Final answer
    x = 1,678,473,533.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.