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Finding the Third Proportional to 6,814,503 and 14,574,519

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Solution

The third proportional to 6,814,503 and 14,574,519 is: 31,171,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,503 : 14,574,519 = 14,574,519 : x
  2. Step 2: Convert to fraction form
    6,814,503/14,574,519 = 14,574,519/x
  3. Step 3: Cross multiply
    6,814,503x = 14,574,519 × 14,574,519
  4. Step 4: Simplify right side
    6,814,503x = 212,416,604,081,361
  5. Step 5: Solve for x
    x = 212,416,604,081,361/6,814,503
  6. Step 6: Final answer
    x = 31,171,254.03

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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.