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Finding the Third Proportional to 6,393,748.50 and 14,013,534

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Solution

The third proportional to 6,393,748.50 and 14,013,534 is: 30,714,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,748.50 : 14,013,534 = 14,013,534 : x
  2. Step 2: Convert to fraction form
    6,393,748.50/14,013,534 = 14,013,534/x
  3. Step 3: Cross multiply
    6,393,748.50x = 14,013,534 × 14,013,534
  4. Step 4: Simplify right side
    6,393,748.50x = 196,379,135,169,156
  5. Step 5: Solve for x
    x = 196,379,135,169,156/6,393,748.50
  6. Step 6: Final answer
    x = 30,714,241.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.