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Finding the Third Proportional to 258,541,110 and 552,914,028

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Solution

The third proportional to 258,541,110 and 552,914,028 is: 1,182,457,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,541,110 : 552,914,028 = 552,914,028 : x
  2. Step 2: Convert to fraction form
    258,541,110/552,914,028 = 552,914,028/x
  3. Step 3: Cross multiply
    258,541,110x = 552,914,028 × 552,914,028
  4. Step 4: Simplify right side
    258,541,110x = 305,713,922,359,184,768
  5. Step 5: Solve for x
    x = 305,713,922,359,184,768/258,541,110
  6. Step 6: Final answer
    x = 1,182,457,684.81

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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.