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Finding the Third Proportional to 6,543,506 and 9,992,406

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Solution

The third proportional to 6,543,506 and 9,992,406 is: 15,259,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,506 : 9,992,406 = 9,992,406 : x
  2. Step 2: Convert to fraction form
    6,543,506/9,992,406 = 9,992,406/x
  3. Step 3: Cross multiply
    6,543,506x = 9,992,406 × 9,992,406
  4. Step 4: Simplify right side
    6,543,506x = 99,848,177,668,836
  5. Step 5: Solve for x
    x = 99,848,177,668,836/6,543,506
  6. Step 6: Final answer
    x = 15,259,125.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.