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Finding the Third Proportional to 303,654,893,532.50 and 632,443,123,990.25

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Solution

The third proportional to 303,654,893,532.50 and 632,443,123,990.25 is: 1,317,233,193,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654,893,532.50 : 632,443,123,990.25 = 632,443,123,990.25 : x
  2. Step 2: Convert to fraction form
    303,654,893,532.50/632,443,123,990.25 = 632,443,123,990.25/x
  3. Step 3: Cross multiply
    303,654,893,532.50x = 632,443,123,990.25 × 632,443,123,990.25
  4. Step 4: Simplify right side
    303,654,893,532.50x = 399,984,305,082,546,717,196,288
  5. Step 5: Solve for x
    x = 399,984,305,082,546,717,196,288/303,654,893,532.50
  6. Step 6: Final answer
    x = 1,317,233,193,344.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.