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Finding the Third Proportional to 6,176,012 and 13,415,203

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Solution

The third proportional to 6,176,012 and 13,415,203 is: 29,139,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176,012 : 13,415,203 = 13,415,203 : x
  2. Step 2: Convert to fraction form
    6,176,012/13,415,203 = 13,415,203/x
  3. Step 3: Cross multiply
    6,176,012x = 13,415,203 × 13,415,203
  4. Step 4: Simplify right side
    6,176,012x = 179,967,671,531,209
  5. Step 5: Solve for x
    x = 179,967,671,531,209/6,176,012
  6. Step 6: Final answer
    x = 29,139,786.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.