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Finding the Third Proportional to 6,419,046 and 14,097,612

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Solution

The third proportional to 6,419,046 and 14,097,612 is: 30,961,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,046 : 14,097,612 = 14,097,612 : x
  2. Step 2: Convert to fraction form
    6,419,046/14,097,612 = 14,097,612/x
  3. Step 3: Cross multiply
    6,419,046x = 14,097,612 × 14,097,612
  4. Step 4: Simplify right side
    6,419,046x = 198,742,664,102,544
  5. Step 5: Solve for x
    x = 198,742,664,102,544/6,419,046
  6. Step 6: Final answer
    x = 30,961,402.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.