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Finding the Third Proportional to 14,522,868 and 31,286,416.50

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Solution

The third proportional to 14,522,868 and 31,286,416.50 is: 67,399,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522,868 : 31,286,416.50 = 31,286,416.50 : x
  2. Step 2: Convert to fraction form
    14,522,868/31,286,416.50 = 31,286,416.50/x
  3. Step 3: Cross multiply
    14,522,868x = 31,286,416.50 × 31,286,416.50
  4. Step 4: Simplify right side
    14,522,868x = 978,839,857,411,472.25
  5. Step 5: Solve for x
    x = 978,839,857,411,472.25/14,522,868
  6. Step 6: Final answer
    x = 67,399,900.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.