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Finding the Third Proportional to 5,636,414 and 12,563,728

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Solution

The third proportional to 5,636,414 and 12,563,728 is: 28,004,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636,414 : 12,563,728 = 12,563,728 : x
  2. Step 2: Convert to fraction form
    5,636,414/12,563,728 = 12,563,728/x
  3. Step 3: Cross multiply
    5,636,414x = 12,563,728 × 12,563,728
  4. Step 4: Simplify right side
    5,636,414x = 157,847,261,257,984
  5. Step 5: Solve for x
    x = 157,847,261,257,984/5,636,414
  6. Step 6: Final answer
    x = 28,004,909.02

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.