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Finding the Third Proportional to 5,296,390.88 and 8,184,169.13

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Solution

The third proportional to 5,296,390.88 and 8,184,169.13 is: 12,646,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,390.88 : 8,184,169.13 = 8,184,169.13 : x
  2. Step 2: Convert to fraction form
    5,296,390.88/8,184,169.13 = 8,184,169.13/x
  3. Step 3: Cross multiply
    5,296,390.88x = 8,184,169.13 × 8,184,169.13
  4. Step 4: Simplify right side
    5,296,390.88x = 66,980,624,266,603.27
  5. Step 5: Solve for x
    x = 66,980,624,266,603.27/5,296,390.88
  6. Step 6: Final answer
    x = 12,646,465.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.