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Finding the Third Proportional to 12,731,908.50 and 24,814,089

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Solution

The third proportional to 12,731,908.50 and 24,814,089 is: 48,361,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731,908.50 : 24,814,089 = 24,814,089 : x
  2. Step 2: Convert to fraction form
    12,731,908.50/24,814,089 = 24,814,089/x
  3. Step 3: Cross multiply
    12,731,908.50x = 24,814,089 × 24,814,089
  4. Step 4: Simplify right side
    12,731,908.50x = 615,739,012,899,921
  5. Step 5: Solve for x
    x = 615,739,012,899,921/12,731,908.50
  6. Step 6: Final answer
    x = 48,361,878.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.