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Finding the Third Proportional to 6,043,784 and 13,044,684

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Solution

The third proportional to 6,043,784 and 13,044,684 is: 28,155,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043,784 : 13,044,684 = 13,044,684 : x
  2. Step 2: Convert to fraction form
    6,043,784/13,044,684 = 13,044,684/x
  3. Step 3: Cross multiply
    6,043,784x = 13,044,684 × 13,044,684
  4. Step 4: Simplify right side
    6,043,784x = 170,163,780,659,856
  5. Step 5: Solve for x
    x = 170,163,780,659,856/6,043,784
  6. Step 6: Final answer
    x = 28,155,172.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.