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Finding the Third Proportional to 6,436,997 and 9,021,435

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Solution

The third proportional to 6,436,997 and 9,021,435 is: 12,643,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,997 : 9,021,435 = 9,021,435 : x
  2. Step 2: Convert to fraction form
    6,436,997/9,021,435 = 9,021,435/x
  3. Step 3: Cross multiply
    6,436,997x = 9,021,435 × 9,021,435
  4. Step 4: Simplify right side
    6,436,997x = 81,386,289,459,225
  5. Step 5: Solve for x
    x = 81,386,289,459,225/6,436,997
  6. Step 6: Final answer
    x = 12,643,518.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.