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Finding the Third Proportional to 6,367,106 and 13,742,530

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Solution

The third proportional to 6,367,106 and 13,742,530 is: 29,661,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367,106 : 13,742,530 = 13,742,530 : x
  2. Step 2: Convert to fraction form
    6,367,106/13,742,530 = 13,742,530/x
  3. Step 3: Cross multiply
    6,367,106x = 13,742,530 × 13,742,530
  4. Step 4: Simplify right side
    6,367,106x = 188,857,130,800,900
  5. Step 5: Solve for x
    x = 188,857,130,800,900/6,367,106
  6. Step 6: Final answer
    x = 29,661,376.90

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Why These Related Problems?

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