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Finding the Third Proportional to 264,224,650 and 552,541,292

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Solution

The third proportional to 264,224,650 and 552,541,292 is: 1,155,463,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,650 : 552,541,292 = 552,541,292 : x
  2. Step 2: Convert to fraction form
    264,224,650/552,541,292 = 552,541,292/x
  3. Step 3: Cross multiply
    264,224,650x = 552,541,292 × 552,541,292
  4. Step 4: Simplify right side
    264,224,650x = 305,301,879,365,029,248
  5. Step 5: Solve for x
    x = 305,301,879,365,029,248/264,224,650
  6. Step 6: Final answer
    x = 1,155,463,274.77

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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.