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Finding the Third Proportional to 6,430,886 and 9,953,103

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Solution

The third proportional to 6,430,886 and 9,953,103 is: 15,404,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,886 : 9,953,103 = 9,953,103 : x
  2. Step 2: Convert to fraction form
    6,430,886/9,953,103 = 9,953,103/x
  3. Step 3: Cross multiply
    6,430,886x = 9,953,103 × 9,953,103
  4. Step 4: Simplify right side
    6,430,886x = 99,064,259,328,609
  5. Step 5: Solve for x
    x = 99,064,259,328,609/6,430,886
  6. Step 6: Final answer
    x = 15,404,449.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.