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Finding the Third Proportional to 10,402,434 and 13,802,916

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Solution

The third proportional to 10,402,434 and 13,802,916 is: 18,314,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,434 : 13,802,916 = 13,802,916 : x
  2. Step 2: Convert to fraction form
    10,402,434/13,802,916 = 13,802,916/x
  3. Step 3: Cross multiply
    10,402,434x = 13,802,916 × 13,802,916
  4. Step 4: Simplify right side
    10,402,434x = 190,520,490,103,056
  5. Step 5: Solve for x
    x = 190,520,490,103,056/10,402,434
  6. Step 6: Final answer
    x = 18,314,991.48

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.