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Finding the Third Proportional to 5,742,738 and 8,614,107

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Solution

The third proportional to 5,742,738 and 8,614,107 is: 12,921,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,738 : 8,614,107 = 8,614,107 : x
  2. Step 2: Convert to fraction form
    5,742,738/8,614,107 = 8,614,107/x
  3. Step 3: Cross multiply
    5,742,738x = 8,614,107 × 8,614,107
  4. Step 4: Simplify right side
    5,742,738x = 74,202,839,407,449
  5. Step 5: Solve for x
    x = 74,202,839,407,449/5,742,738
  6. Step 6: Final answer
    x = 12,921,160.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.