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Finding the Third Proportional to 7,758,009 and 16,461,665

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Solution

The third proportional to 7,758,009 and 16,461,665 is: 34,929,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,009 : 16,461,665 = 16,461,665 : x
  2. Step 2: Convert to fraction form
    7,758,009/16,461,665 = 16,461,665/x
  3. Step 3: Cross multiply
    7,758,009x = 16,461,665 × 16,461,665
  4. Step 4: Simplify right side
    7,758,009x = 270,986,414,572,225
  5. Step 5: Solve for x
    x = 270,986,414,572,225/7,758,009
  6. Step 6: Final answer
    x = 34,929,891.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.