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Finding the Third Proportional to 6,767,836.50 and 14,614,503

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Solution

The third proportional to 6,767,836.50 and 14,614,503 is: 31,558,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767,836.50 : 14,614,503 = 14,614,503 : x
  2. Step 2: Convert to fraction form
    6,767,836.50/14,614,503 = 14,614,503/x
  3. Step 3: Cross multiply
    6,767,836.50x = 14,614,503 × 14,614,503
  4. Step 4: Simplify right side
    6,767,836.50x = 213,583,697,937,009
  5. Step 5: Solve for x
    x = 213,583,697,937,009/6,767,836.50
  6. Step 6: Final answer
    x = 31,558,637.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.