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Finding the Third Proportional to 253,478,646 and 543,336,390

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Solution

The third proportional to 253,478,646 and 543,336,390 is: 1,164,652,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,478,646 : 543,336,390 = 543,336,390 : x
  2. Step 2: Convert to fraction form
    253,478,646/543,336,390 = 543,336,390/x
  3. Step 3: Cross multiply
    253,478,646x = 543,336,390 × 543,336,390
  4. Step 4: Simplify right side
    253,478,646x = 295,214,432,698,232,128
  5. Step 5: Solve for x
    x = 295,214,432,698,232,128/253,478,646
  6. Step 6: Final answer
    x = 1,164,652,081.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.