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Finding the Third Proportional to 14,005,884 and 30,465,740

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Solution

The third proportional to 14,005,884 and 30,465,740 is: 66,269,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005,884 : 30,465,740 = 30,465,740 : x
  2. Step 2: Convert to fraction form
    14,005,884/30,465,740 = 30,465,740/x
  3. Step 3: Cross multiply
    14,005,884x = 30,465,740 × 30,465,740
  4. Step 4: Simplify right side
    14,005,884x = 928,161,313,747,600
  5. Step 5: Solve for x
    x = 928,161,313,747,600/14,005,884
  6. Step 6: Final answer
    x = 66,269,384.62

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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.