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Finding the Third Proportional to 6,114,296 and 9,186,852

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Solution

The third proportional to 6,114,296 and 9,186,852 is: 13,803,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114,296 : 9,186,852 = 9,186,852 : x
  2. Step 2: Convert to fraction form
    6,114,296/9,186,852 = 9,186,852/x
  3. Step 3: Cross multiply
    6,114,296x = 9,186,852 × 9,186,852
  4. Step 4: Simplify right side
    6,114,296x = 84,398,249,669,904
  5. Step 5: Solve for x
    x = 84,398,249,669,904/6,114,296
  6. Step 6: Final answer
    x = 13,803,428.83

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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.