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Finding the Third Proportional to 10,398,039 and 16,164,097

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Solution

The third proportional to 10,398,039 and 16,164,097 is: 25,127,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398,039 : 16,164,097 = 16,164,097 : x
  2. Step 2: Convert to fraction form
    10,398,039/16,164,097 = 16,164,097/x
  3. Step 3: Cross multiply
    10,398,039x = 16,164,097 × 16,164,097
  4. Step 4: Simplify right side
    10,398,039x = 261,278,031,825,409
  5. Step 5: Solve for x
    x = 261,278,031,825,409/10,398,039
  6. Step 6: Final answer
    x = 25,127,625.68

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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.