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Finding the Third Proportional to 3,016,566 and 6,427,777.50

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Solution

The third proportional to 3,016,566 and 6,427,777.50 is: 13,696,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,566 : 6,427,777.50 = 6,427,777.50 : x
  2. Step 2: Convert to fraction form
    3,016,566/6,427,777.50 = 6,427,777.50/x
  3. Step 3: Cross multiply
    3,016,566x = 6,427,777.50 × 6,427,777.50
  4. Step 4: Simplify right side
    3,016,566x = 41,316,323,589,506.25
  5. Step 5: Solve for x
    x = 41,316,323,589,506.25/3,016,566
  6. Step 6: Final answer
    x = 13,696,475.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.