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Finding the Third Proportional to 5,543,506 and 8,292,653

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Solution

The third proportional to 5,543,506 and 8,292,653 is: 12,405,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543,506 : 8,292,653 = 8,292,653 : x
  2. Step 2: Convert to fraction form
    5,543,506/8,292,653 = 8,292,653/x
  3. Step 3: Cross multiply
    5,543,506x = 8,292,653 × 8,292,653
  4. Step 4: Simplify right side
    5,543,506x = 68,768,093,778,409
  5. Step 5: Solve for x
    x = 68,768,093,778,409/5,543,506
  6. Step 6: Final answer
    x = 12,405,162.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.