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Finding the Third Proportional to 125,546,130 and 266,027,274

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Solution

The third proportional to 125,546,130 and 266,027,274 is: 563,701,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,546,130 : 266,027,274 = 266,027,274 : x
  2. Step 2: Convert to fraction form
    125,546,130/266,027,274 = 266,027,274/x
  3. Step 3: Cross multiply
    125,546,130x = 266,027,274 × 266,027,274
  4. Step 4: Simplify right side
    125,546,130x = 70,770,510,511,871,072
  5. Step 5: Solve for x
    x = 70,770,510,511,871,072/125,546,130
  6. Step 6: Final answer
    x = 563,701,250.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.