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Finding the Third Proportional to 313,048,642 and 680,038,668

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Solution

The third proportional to 313,048,642 and 680,038,668 is: 1,477,254,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,048,642 : 680,038,668 = 680,038,668 : x
  2. Step 2: Convert to fraction form
    313,048,642/680,038,668 = 680,038,668/x
  3. Step 3: Cross multiply
    313,048,642x = 680,038,668 × 680,038,668
  4. Step 4: Simplify right side
    313,048,642x = 462,452,589,975,214,208
  5. Step 5: Solve for x
    x = 462,452,589,975,214,208/313,048,642
  6. Step 6: Final answer
    x = 1,477,254,739.14

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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.