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Finding the Third Proportional to 4,432,469 and 9,705,682

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Solution

The third proportional to 4,432,469 and 9,705,682 is: 21,252,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432,469 : 9,705,682 = 9,705,682 : x
  2. Step 2: Convert to fraction form
    4,432,469/9,705,682 = 9,705,682/x
  3. Step 3: Cross multiply
    4,432,469x = 9,705,682 × 9,705,682
  4. Step 4: Simplify right side
    4,432,469x = 94,200,263,085,124
  5. Step 5: Solve for x
    x = 94,200,263,085,124/4,432,469
  6. Step 6: Final answer
    x = 21,252,323.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.