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Finding the Third Proportional to 303,654,893,663 and 632,443,124,269

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Solution

The third proportional to 303,654,893,663 and 632,443,124,269 is: 1,317,233,193,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654,893,663 : 632,443,124,269 = 632,443,124,269 : x
  2. Step 2: Convert to fraction form
    303,654,893,663/632,443,124,269 = 632,443,124,269/x
  3. Step 3: Cross multiply
    303,654,893,663x = 632,443,124,269 × 632,443,124,269
  4. Step 4: Simplify right side
    303,654,893,663x = 399,984,305,435,133,802,971,136
  5. Step 5: Solve for x
    x = 399,984,305,435,133,802,971,136/303,654,893,663
  6. Step 6: Final answer
    x = 1,317,233,193,939.70

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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.