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Finding the Third Proportional to 3,831,768 and 6,386,013

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Solution

The third proportional to 3,831,768 and 6,386,013 is: 10,642,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,768 : 6,386,013 = 6,386,013 : x
  2. Step 2: Convert to fraction form
    3,831,768/6,386,013 = 6,386,013/x
  3. Step 3: Cross multiply
    3,831,768x = 6,386,013 × 6,386,013
  4. Step 4: Simplify right side
    3,831,768x = 40,781,162,036,169
  5. Step 5: Solve for x
    x = 40,781,162,036,169/3,831,768
  6. Step 6: Final answer
    x = 10,642,910.02

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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.