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Finding the Third Proportional to 12,105,636.75 and 26,123,643

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Solution

The third proportional to 12,105,636.75 and 26,123,643 is: 56,374,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105,636.75 : 26,123,643 = 26,123,643 : x
  2. Step 2: Convert to fraction form
    12,105,636.75/26,123,643 = 26,123,643/x
  3. Step 3: Cross multiply
    12,105,636.75x = 26,123,643 × 26,123,643
  4. Step 4: Simplify right side
    12,105,636.75x = 682,444,723,591,449
  5. Step 5: Solve for x
    x = 682,444,723,591,449/12,105,636.75
  6. Step 6: Final answer
    x = 56,374,128.65

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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.