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Finding the Third Proportional to 1,874,504,311.50 and 4,031,115,220.50

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Solution

The third proportional to 1,874,504,311.50 and 4,031,115,220.50 is: 8,668,899,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,504,311.50 : 4,031,115,220.50 = 4,031,115,220.50 : x
  2. Step 2: Convert to fraction form
    1,874,504,311.50/4,031,115,220.50 = 4,031,115,220.50/x
  3. Step 3: Cross multiply
    1,874,504,311.50x = 4,031,115,220.50 × 4,031,115,220.50
  4. Step 4: Simplify right side
    1,874,504,311.50x = 16,249,889,920,946,763,776
  5. Step 5: Solve for x
    x = 16,249,889,920,946,763,776/1,874,504,311.50
  6. Step 6: Final answer
    x = 8,668,899,730.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.