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Finding the Third Proportional to 3,831,711 and 6,385,929.75

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Solution

The third proportional to 3,831,711 and 6,385,929.75 is: 10,642,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,711 : 6,385,929.75 = 6,385,929.75 : x
  2. Step 2: Convert to fraction form
    3,831,711/6,385,929.75 = 6,385,929.75/x
  3. Step 3: Cross multiply
    3,831,711x = 6,385,929.75 × 6,385,929.75
  4. Step 4: Simplify right side
    3,831,711x = 40,780,098,771,935.06
  5. Step 5: Solve for x
    x = 40,780,098,771,935.06/3,831,711
  6. Step 6: Final answer
    x = 10,642,790.85

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.