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Finding the Third Proportional to 2,829,577 and 6,137,657

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Solution

The third proportional to 2,829,577 and 6,137,657 is: 13,313,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,577 : 6,137,657 = 6,137,657 : x
  2. Step 2: Convert to fraction form
    2,829,577/6,137,657 = 6,137,657/x
  3. Step 3: Cross multiply
    2,829,577x = 6,137,657 × 6,137,657
  4. Step 4: Simplify right side
    2,829,577x = 37,670,833,449,649
  5. Step 5: Solve for x
    x = 37,670,833,449,649/2,829,577
  6. Step 6: Final answer
    x = 13,313,238.50

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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.