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Finding the Third Proportional to 333,982,951.31 and 509,612,773.22

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Solution

The third proportional to 333,982,951.31 and 509,612,773.22 is: 777,600,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,982,951.31 : 509,612,773.22 = 509,612,773.22 : x
  2. Step 2: Convert to fraction form
    333,982,951.31/509,612,773.22 = 509,612,773.22/x
  3. Step 3: Cross multiply
    333,982,951.31x = 509,612,773.22 × 509,612,773.22
  4. Step 4: Simplify right side
    333,982,951.31x = 259,705,178,627,705,120
  5. Step 5: Solve for x
    x = 259,705,178,627,705,120/333,982,951.31
  6. Step 6: Final answer
    x = 777,600,106.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.