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Finding the Third Proportional to 2,829,592 and 6,137,692

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Solution

The third proportional to 2,829,592 and 6,137,692 is: 13,313,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,592 : 6,137,692 = 6,137,692 : x
  2. Step 2: Convert to fraction form
    2,829,592/6,137,692 = 6,137,692/x
  3. Step 3: Cross multiply
    2,829,592x = 6,137,692 × 6,137,692
  4. Step 4: Simplify right side
    2,829,592x = 37,671,263,086,864
  5. Step 5: Solve for x
    x = 37,671,263,086,864/2,829,592
  6. Step 6: Final answer
    x = 13,313,319.76

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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.