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Finding the Third Proportional to 7,661,661 and 16,485,723

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Solution

The third proportional to 7,661,661 and 16,485,723 is: 35,472,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,661 : 16,485,723 = 16,485,723 : x
  2. Step 2: Convert to fraction form
    7,661,661/16,485,723 = 16,485,723/x
  3. Step 3: Cross multiply
    7,661,661x = 16,485,723 × 16,485,723
  4. Step 4: Simplify right side
    7,661,661x = 271,779,062,832,729
  5. Step 5: Solve for x
    x = 271,779,062,832,729/7,661,661
  6. Step 6: Final answer
    x = 35,472,603.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.