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Finding the Third Proportional to 6,371,136 and 13,861,854

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Solution

The third proportional to 6,371,136 and 13,861,854 is: 30,159,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,136 : 13,861,854 = 13,861,854 : x
  2. Step 2: Convert to fraction form
    6,371,136/13,861,854 = 13,861,854/x
  3. Step 3: Cross multiply
    6,371,136x = 13,861,854 × 13,861,854
  4. Step 4: Simplify right side
    6,371,136x = 192,150,996,317,316
  5. Step 5: Solve for x
    x = 192,150,996,317,316/6,371,136
  6. Step 6: Final answer
    x = 30,159,613.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.