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Finding the Third Proportional to 6,176,010 and 13,415,199

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Solution

The third proportional to 6,176,010 and 13,415,199 is: 29,139,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176,010 : 13,415,199 = 13,415,199 : x
  2. Step 2: Convert to fraction form
    6,176,010/13,415,199 = 13,415,199/x
  3. Step 3: Cross multiply
    6,176,010x = 13,415,199 × 13,415,199
  4. Step 4: Simplify right side
    6,176,010x = 179,967,564,209,601
  5. Step 5: Solve for x
    x = 179,967,564,209,601/6,176,010
  6. Step 6: Final answer
    x = 29,139,778.63

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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.