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Finding the Third Proportional to 264,224,648 and 552,541,288

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Solution

The third proportional to 264,224,648 and 552,541,288 is: 1,155,463,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,648 : 552,541,288 = 552,541,288 : x
  2. Step 2: Convert to fraction form
    264,224,648/552,541,288 = 552,541,288/x
  3. Step 3: Cross multiply
    264,224,648x = 552,541,288 × 552,541,288
  4. Step 4: Simplify right side
    264,224,648x = 305,301,874,944,698,944
  5. Step 5: Solve for x
    x = 305,301,874,944,698,944/264,224,648
  6. Step 6: Final answer
    x = 1,155,463,266.79

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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.