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Finding the Third Proportional to 264,224,664 and 552,541,320

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Solution

The third proportional to 264,224,664 and 552,541,320 is: 1,155,463,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,664 : 552,541,320 = 552,541,320 : x
  2. Step 2: Convert to fraction form
    264,224,664/552,541,320 = 552,541,320/x
  3. Step 3: Cross multiply
    264,224,664x = 552,541,320 × 552,541,320
  4. Step 4: Simplify right side
    264,224,664x = 305,301,910,307,342,400
  5. Step 5: Solve for x
    x = 305,301,910,307,342,400/264,224,664
  6. Step 6: Final answer
    x = 1,155,463,330.66

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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.