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Finding the Third Proportional to 125,382,903 and 265,936,818

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Solution

The third proportional to 125,382,903 and 265,936,818 is: 564,051,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,382,903 : 265,936,818 = 265,936,818 : x
  2. Step 2: Convert to fraction form
    125,382,903/265,936,818 = 265,936,818/x
  3. Step 3: Cross multiply
    125,382,903x = 265,936,818 × 265,936,818
  4. Step 4: Simplify right side
    125,382,903x = 70,722,391,167,965,120
  5. Step 5: Solve for x
    x = 70,722,391,167,965,120/125,382,903
  6. Step 6: Final answer
    x = 564,051,313.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.