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Finding the Third Proportional to 362,773,120 and 547,166,261

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Solution

The third proportional to 362,773,120 and 547,166,261 is: 825,284,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,773,120 : 547,166,261 = 547,166,261 : x
  2. Step 2: Convert to fraction form
    362,773,120/547,166,261 = 547,166,261/x
  3. Step 3: Cross multiply
    362,773,120x = 547,166,261 × 547,166,261
  4. Step 4: Simplify right side
    362,773,120x = 299,390,917,176,720,128
  5. Step 5: Solve for x
    x = 299,390,917,176,720,128/362,773,120
  6. Step 6: Final answer
    x = 825,284,180.86

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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.