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Finding the Third Proportional to 6,836,364 and 14,943,102

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Solution

The third proportional to 6,836,364 and 14,943,102 is: 32,663,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836,364 : 14,943,102 = 14,943,102 : x
  2. Step 2: Convert to fraction form
    6,836,364/14,943,102 = 14,943,102/x
  3. Step 3: Cross multiply
    6,836,364x = 14,943,102 × 14,943,102
  4. Step 4: Simplify right side
    6,836,364x = 223,296,297,382,404
  5. Step 5: Solve for x
    x = 223,296,297,382,404/6,836,364
  6. Step 6: Final answer
    x = 32,663,020.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.