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Finding the Third Proportional to 6,396,810 and 13,742,164

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Solution

The third proportional to 6,396,810 and 13,742,164 is: 29,522,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396,810 : 13,742,164 = 13,742,164 : x
  2. Step 2: Convert to fraction form
    6,396,810/13,742,164 = 13,742,164/x
  3. Step 3: Cross multiply
    6,396,810x = 13,742,164 × 13,742,164
  4. Step 4: Simplify right side
    6,396,810x = 188,847,071,402,896
  5. Step 5: Solve for x
    x = 188,847,071,402,896/6,396,810
  6. Step 6: Final answer
    x = 29,522,069.81

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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.