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Finding the Third Proportional to 1,874,504,349 and 4,031,115,295.50

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Solution

The third proportional to 1,874,504,349 and 4,031,115,295.50 is: 8,668,899,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,504,349 : 4,031,115,295.50 = 4,031,115,295.50 : x
  2. Step 2: Convert to fraction form
    1,874,504,349/4,031,115,295.50 = 4,031,115,295.50/x
  3. Step 3: Cross multiply
    1,874,504,349x = 4,031,115,295.50 × 4,031,115,295.50
  4. Step 4: Simplify right side
    1,874,504,349x = 16,249,890,525,614,051,328
  5. Step 5: Solve for x
    x = 16,249,890,525,614,051,328/1,874,504,349
  6. Step 6: Final answer
    x = 8,668,899,879.74

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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.