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Finding the Third Proportional to 12,545,836.50 and 17,666,745

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Solution

The third proportional to 12,545,836.50 and 17,666,745 is: 24,877,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545,836.50 : 17,666,745 = 17,666,745 : x
  2. Step 2: Convert to fraction form
    12,545,836.50/17,666,745 = 17,666,745/x
  3. Step 3: Cross multiply
    12,545,836.50x = 17,666,745 × 17,666,745
  4. Step 4: Simplify right side
    12,545,836.50x = 312,113,878,895,025
  5. Step 5: Solve for x
    x = 312,113,878,895,025/12,545,836.50
  6. Step 6: Final answer
    x = 24,877,885.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.