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Finding the Third Proportional to 264,224,668 and 552,541,328

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Solution

The third proportional to 264,224,668 and 552,541,328 is: 1,155,463,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,668 : 552,541,328 = 552,541,328 : x
  2. Step 2: Convert to fraction form
    264,224,668/552,541,328 = 552,541,328/x
  3. Step 3: Cross multiply
    264,224,668x = 552,541,328 × 552,541,328
  4. Step 4: Simplify right side
    264,224,668x = 305,301,919,148,003,584
  5. Step 5: Solve for x
    x = 305,301,919,148,003,584/264,224,668
  6. Step 6: Final answer
    x = 1,155,463,346.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.