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Finding the Third Proportional to 4,137,886 and 6,458,364

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Solution

The third proportional to 4,137,886 and 6,458,364 is: 10,080,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,886 : 6,458,364 = 6,458,364 : x
  2. Step 2: Convert to fraction form
    4,137,886/6,458,364 = 6,458,364/x
  3. Step 3: Cross multiply
    4,137,886x = 6,458,364 × 6,458,364
  4. Step 4: Simplify right side
    4,137,886x = 41,710,465,556,496
  5. Step 5: Solve for x
    x = 41,710,465,556,496/4,137,886
  6. Step 6: Final answer
    x = 10,080,138.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.