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Finding the Third Proportional to 12,194,312.50 and 17,954,636

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Solution

The third proportional to 12,194,312.50 and 17,954,636 is: 26,436,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194,312.50 : 17,954,636 = 17,954,636 : x
  2. Step 2: Convert to fraction form
    12,194,312.50/17,954,636 = 17,954,636/x
  3. Step 3: Cross multiply
    12,194,312.50x = 17,954,636 × 17,954,636
  4. Step 4: Simplify right side
    12,194,312.50x = 322,368,953,892,496
  5. Step 5: Solve for x
    x = 322,368,953,892,496/12,194,312.50
  6. Step 6: Final answer
    x = 26,436,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.