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Finding the Third Proportional to 4,384,666,230 and 10,231,241,463

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Solution

The third proportional to 4,384,666,230 and 10,231,241,463 is: 23,873,721,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,666,230 : 10,231,241,463 = 10,231,241,463 : x
  2. Step 2: Convert to fraction form
    4,384,666,230/10,231,241,463 = 10,231,241,463/x
  3. Step 3: Cross multiply
    4,384,666,230x = 10,231,241,463 × 10,231,241,463
  4. Step 4: Simplify right side
    4,384,666,230x = 104,678,301,874,210,373,632
  5. Step 5: Solve for x
    x = 104,678,301,874,210,373,632/4,384,666,230
  6. Step 6: Final answer
    x = 23,873,721,825.85

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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.