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Finding the Third Proportional to 6,396,808 and 13,742,160

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Solution

The third proportional to 6,396,808 and 13,742,160 is: 29,522,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396,808 : 13,742,160 = 13,742,160 : x
  2. Step 2: Convert to fraction form
    6,396,808/13,742,160 = 13,742,160/x
  3. Step 3: Cross multiply
    6,396,808x = 13,742,160 × 13,742,160
  4. Step 4: Simplify right side
    6,396,808x = 188,846,961,465,600
  5. Step 5: Solve for x
    x = 188,846,961,465,600/6,396,808
  6. Step 6: Final answer
    x = 29,522,061.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.