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Finding the Third Proportional to 3,817,823.63 and 8,233,518.38

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Solution

The third proportional to 3,817,823.63 and 8,233,518.38 is: 17,756,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817,823.63 : 8,233,518.38 = 8,233,518.38 : x
  2. Step 2: Convert to fraction form
    3,817,823.63/8,233,518.38 = 8,233,518.38/x
  3. Step 3: Cross multiply
    3,817,823.63x = 8,233,518.38 × 8,233,518.38
  4. Step 4: Simplify right side
    3,817,823.63x = 67,790,824,831,462.64
  5. Step 5: Solve for x
    x = 67,790,824,831,462.64/3,817,823.63
  6. Step 6: Final answer
    x = 17,756,405.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.