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Finding the Third Proportional to 303,654,922,810 and 632,443,179,044

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Solution

The third proportional to 303,654,922,810 and 632,443,179,044 is: 1,317,233,295,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654,922,810 : 632,443,179,044 = 632,443,179,044 : x
  2. Step 2: Convert to fraction form
    303,654,922,810/632,443,179,044 = 632,443,179,044/x
  3. Step 3: Cross multiply
    303,654,922,810x = 632,443,179,044 × 632,443,179,044
  4. Step 4: Simplify right side
    303,654,922,810x = 399,984,374,719,281,029,447,680
  5. Step 5: Solve for x
    x = 399,984,374,719,281,029,447,680/303,654,922,810
  6. Step 6: Final answer
    x = 1,317,233,295,669.49

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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.