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Finding the Third Proportional to 4,384,666,233 and 10,231,241,430

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Solution

The third proportional to 4,384,666,233 and 10,231,241,430 is: 23,873,721,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,666,233 : 10,231,241,430 = 10,231,241,430 : x
  2. Step 2: Convert to fraction form
    4,384,666,233/10,231,241,430 = 10,231,241,430/x
  3. Step 3: Cross multiply
    4,384,666,233x = 10,231,241,430 × 10,231,241,430
  4. Step 4: Simplify right side
    4,384,666,233x = 104,678,301,198,948,450,304
  5. Step 5: Solve for x
    x = 104,678,301,198,948,450,304/4,384,666,233
  6. Step 6: Final answer
    x = 23,873,721,655.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.