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Finding the Third Proportional to 258,541,112 and 552,914,032

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Solution

The third proportional to 258,541,112 and 552,914,032 is: 1,182,457,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,541,112 : 552,914,032 = 552,914,032 : x
  2. Step 2: Convert to fraction form
    258,541,112/552,914,032 = 552,914,032/x
  3. Step 3: Cross multiply
    258,541,112x = 552,914,032 × 552,914,032
  4. Step 4: Simplify right side
    258,541,112x = 305,713,926,782,497,024
  5. Step 5: Solve for x
    x = 305,713,926,782,497,024/258,541,112
  6. Step 6: Final answer
    x = 1,182,457,692.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.