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Finding the Third Proportional to 2,694,664 and 5,742,083

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Solution

The third proportional to 2,694,664 and 5,742,083 is: 12,235,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,664 : 5,742,083 = 5,742,083 : x
  2. Step 2: Convert to fraction form
    2,694,664/5,742,083 = 5,742,083/x
  3. Step 3: Cross multiply
    2,694,664x = 5,742,083 × 5,742,083
  4. Step 4: Simplify right side
    2,694,664x = 32,971,517,178,889
  5. Step 5: Solve for x
    x = 32,971,517,178,889/2,694,664
  6. Step 6: Final answer
    x = 12,235,854.70

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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.