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Finding the Third Proportional to 6,182,078 and 13,278,264

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Solution

The third proportional to 6,182,078 and 13,278,264 is: 28,519,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,078 : 13,278,264 = 13,278,264 : x
  2. Step 2: Convert to fraction form
    6,182,078/13,278,264 = 13,278,264/x
  3. Step 3: Cross multiply
    6,182,078x = 13,278,264 × 13,278,264
  4. Step 4: Simplify right side
    6,182,078x = 176,312,294,853,696
  5. Step 5: Solve for x
    x = 176,312,294,853,696/6,182,078
  6. Step 6: Final answer
    x = 28,519,907.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.