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Finding the Third Proportional to 7,748,114 and 18,005,165

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Solution

The third proportional to 7,748,114 and 18,005,165 is: 41,840,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748,114 : 18,005,165 = 18,005,165 : x
  2. Step 2: Convert to fraction form
    7,748,114/18,005,165 = 18,005,165/x
  3. Step 3: Cross multiply
    7,748,114x = 18,005,165 × 18,005,165
  4. Step 4: Simplify right side
    7,748,114x = 324,185,966,677,225
  5. Step 5: Solve for x
    x = 324,185,966,677,225/7,748,114
  6. Step 6: Final answer
    x = 41,840,629.43

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.