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Finding the Third Proportional to 6,195,908 and 13,421,164

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Solution

The third proportional to 6,195,908 and 13,421,164 is: 29,072,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,908 : 13,421,164 = 13,421,164 : x
  2. Step 2: Convert to fraction form
    6,195,908/13,421,164 = 13,421,164/x
  3. Step 3: Cross multiply
    6,195,908x = 13,421,164 × 13,421,164
  4. Step 4: Simplify right side
    6,195,908x = 180,127,643,114,896
  5. Step 5: Solve for x
    x = 180,127,643,114,896/6,195,908
  6. Step 6: Final answer
    x = 29,072,033.21

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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.