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Finding the Third Proportional to 6,057,138 and 13,343,316

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Solution

The third proportional to 6,057,138 and 13,343,316 is: 29,394,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,138 : 13,343,316 = 13,343,316 : x
  2. Step 2: Convert to fraction form
    6,057,138/13,343,316 = 13,343,316/x
  3. Step 3: Cross multiply
    6,057,138x = 13,343,316 × 13,343,316
  4. Step 4: Simplify right side
    6,057,138x = 178,044,081,875,856
  5. Step 5: Solve for x
    x = 178,044,081,875,856/6,057,138
  6. Step 6: Final answer
    x = 29,394,093.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.