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Finding the Third Proportional to 7,424,886 and 11,814,576

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Solution

The third proportional to 7,424,886 and 11,814,576 is: 18,799,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424,886 : 11,814,576 = 11,814,576 : x
  2. Step 2: Convert to fraction form
    7,424,886/11,814,576 = 11,814,576/x
  3. Step 3: Cross multiply
    7,424,886x = 11,814,576 × 11,814,576
  4. Step 4: Simplify right side
    7,424,886x = 139,584,206,059,776
  5. Step 5: Solve for x
    x = 139,584,206,059,776/7,424,886
  6. Step 6: Final answer
    x = 18,799,508.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.