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Finding the Third Proportional to 13,724,700 and 18,297,522

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Solution

The third proportional to 13,724,700 and 18,297,522 is: 24,393,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724,700 : 18,297,522 = 18,297,522 : x
  2. Step 2: Convert to fraction form
    13,724,700/18,297,522 = 18,297,522/x
  3. Step 3: Cross multiply
    13,724,700x = 18,297,522 × 18,297,522
  4. Step 4: Simplify right side
    13,724,700x = 334,799,311,340,484
  5. Step 5: Solve for x
    x = 334,799,311,340,484/13,724,700
  6. Step 6: Final answer
    x = 24,393,925.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.