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Finding the Third Proportional to 5,636,598 and 12,564,096

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Solution

The third proportional to 5,636,598 and 12,564,096 is: 28,005,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636,598 : 12,564,096 = 12,564,096 : x
  2. Step 2: Convert to fraction form
    5,636,598/12,564,096 = 12,564,096/x
  3. Step 3: Cross multiply
    5,636,598x = 12,564,096 × 12,564,096
  4. Step 4: Simplify right side
    5,636,598x = 157,856,508,297,216
  5. Step 5: Solve for x
    x = 157,856,508,297,216/5,636,598
  6. Step 6: Final answer
    x = 28,005,635.37

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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.