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Finding the Third Proportional to 3,097,525 and 6,643,443

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Solution

The third proportional to 3,097,525 and 6,643,443 is: 14,248,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,525 : 6,643,443 = 6,643,443 : x
  2. Step 2: Convert to fraction form
    3,097,525/6,643,443 = 6,643,443/x
  3. Step 3: Cross multiply
    3,097,525x = 6,643,443 × 6,643,443
  4. Step 4: Simplify right side
    3,097,525x = 44,135,334,894,249
  5. Step 5: Solve for x
    x = 44,135,334,894,249/3,097,525
  6. Step 6: Final answer
    x = 14,248,580.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.