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Finding the Third Proportional to 404,203,819.50 and 877,013,466.75

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Solution

The third proportional to 404,203,819.50 and 877,013,466.75 is: 1,902,883,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,203,819.50 : 877,013,466.75 = 877,013,466.75 : x
  2. Step 2: Convert to fraction form
    404,203,819.50/877,013,466.75 = 877,013,466.75/x
  3. Step 3: Cross multiply
    404,203,819.50x = 877,013,466.75 × 877,013,466.75
  4. Step 4: Simplify right side
    404,203,819.50x = 769,152,620,860,853,376
  5. Step 5: Solve for x
    x = 769,152,620,860,853,376/404,203,819.50
  6. Step 6: Final answer
    x = 1,902,883,109.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.