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Finding the Third Proportional to 658,235,160 and 1,370,950,668

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Solution

The third proportional to 658,235,160 and 1,370,950,668 is: 2,855,371,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,235,160 : 1,370,950,668 = 1,370,950,668 : x
  2. Step 2: Convert to fraction form
    658,235,160/1,370,950,668 = 1,370,950,668/x
  3. Step 3: Cross multiply
    658,235,160x = 1,370,950,668 × 1,370,950,668
  4. Step 4: Simplify right side
    658,235,160x = 1,879,505,734,089,646,336
  5. Step 5: Solve for x
    x = 1,879,505,734,089,646,336/658,235,160
  6. Step 6: Final answer
    x = 2,855,371,223.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.