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Finding the Third Proportional to 6,435,714 and 9,443,187

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Solution

The third proportional to 6,435,714 and 9,443,187 is: 13,856,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435,714 : 9,443,187 = 9,443,187 : x
  2. Step 2: Convert to fraction form
    6,435,714/9,443,187 = 9,443,187/x
  3. Step 3: Cross multiply
    6,435,714x = 9,443,187 × 9,443,187
  4. Step 4: Simplify right side
    6,435,714x = 89,173,780,716,969
  5. Step 5: Solve for x
    x = 89,173,780,716,969/6,435,714
  6. Step 6: Final answer
    x = 13,856,081.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.