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Finding the Third Proportional to 6,855,900.75 and 10,031,478.75

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Solution

The third proportional to 6,855,900.75 and 10,031,478.75 is: 14,677,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855,900.75 : 10,031,478.75 = 10,031,478.75 : x
  2. Step 2: Convert to fraction form
    6,855,900.75/10,031,478.75 = 10,031,478.75/x
  3. Step 3: Cross multiply
    6,855,900.75x = 10,031,478.75 × 10,031,478.75
  4. Step 4: Simplify right side
    6,855,900.75x = 100,630,565,911,701.56
  5. Step 5: Solve for x
    x = 100,630,565,911,701.56/6,855,900.75
  6. Step 6: Final answer
    x = 14,677,949.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.