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Finding the Third Proportional to 362,773,128 and 547,166,274

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Solution

The third proportional to 362,773,128 and 547,166,274 is: 825,284,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,773,128 : 547,166,274 = 547,166,274 : x
  2. Step 2: Convert to fraction form
    362,773,128/547,166,274 = 547,166,274/x
  3. Step 3: Cross multiply
    362,773,128x = 547,166,274 × 547,166,274
  4. Step 4: Simplify right side
    362,773,128x = 299,390,931,403,043,072
  5. Step 5: Solve for x
    x = 299,390,931,403,043,072/362,773,128
  6. Step 6: Final answer
    x = 825,284,201.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.