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Finding the Third Proportional to 6,195,896 and 13,421,142

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Solution

The third proportional to 6,195,896 and 13,421,142 is: 29,071,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,896 : 13,421,142 = 13,421,142 : x
  2. Step 2: Convert to fraction form
    6,195,896/13,421,142 = 13,421,142/x
  3. Step 3: Cross multiply
    6,195,896x = 13,421,142 × 13,421,142
  4. Step 4: Simplify right side
    6,195,896x = 180,127,052,584,164
  5. Step 5: Solve for x
    x = 180,127,052,584,164/6,195,896
  6. Step 6: Final answer
    x = 29,071,994.20

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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.