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Finding the Third Proportional to 12,731,920 and 24,814,112

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Solution

The third proportional to 12,731,920 and 24,814,112 is: 48,361,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731,920 : 24,814,112 = 24,814,112 : x
  2. Step 2: Convert to fraction form
    12,731,920/24,814,112 = 24,814,112/x
  3. Step 3: Cross multiply
    12,731,920x = 24,814,112 × 24,814,112
  4. Step 4: Simplify right side
    12,731,920x = 615,740,154,348,544
  5. Step 5: Solve for x
    x = 615,740,154,348,544/12,731,920
  6. Step 6: Final answer
    x = 48,361,924.54

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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.