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Finding the Third Proportional to 6,825,506 and 9,600,558

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Solution

The third proportional to 6,825,506 and 9,600,558 is: 13,503,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,506 : 9,600,558 = 9,600,558 : x
  2. Step 2: Convert to fraction form
    6,825,506/9,600,558 = 9,600,558/x
  3. Step 3: Cross multiply
    6,825,506x = 9,600,558 × 9,600,558
  4. Step 4: Simplify right side
    6,825,506x = 92,170,713,911,364
  5. Step 5: Solve for x
    x = 92,170,713,911,364/6,825,506
  6. Step 6: Final answer
    x = 13,503,865.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.