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Finding the Third Proportional to 7,692,104 and 16,413,754

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Solution

The third proportional to 7,692,104 and 16,413,754 is: 35,024,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,104 : 16,413,754 = 16,413,754 : x
  2. Step 2: Convert to fraction form
    7,692,104/16,413,754 = 16,413,754/x
  3. Step 3: Cross multiply
    7,692,104x = 16,413,754 × 16,413,754
  4. Step 4: Simplify right side
    7,692,104x = 269,411,320,372,516
  5. Step 5: Solve for x
    x = 269,411,320,372,516/7,692,104
  6. Step 6: Final answer
    x = 35,024,399.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.