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Finding the Third Proportional to 6,091,294 and 13,544,211

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Solution

The third proportional to 6,091,294 and 13,544,211 is: 30,116,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091,294 : 13,544,211 = 13,544,211 : x
  2. Step 2: Convert to fraction form
    6,091,294/13,544,211 = 13,544,211/x
  3. Step 3: Cross multiply
    6,091,294x = 13,544,211 × 13,544,211
  4. Step 4: Simplify right side
    6,091,294x = 183,445,651,612,521
  5. Step 5: Solve for x
    x = 183,445,651,612,521/6,091,294
  6. Step 6: Final answer
    x = 30,116,039.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.