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Finding the Third Proportional to 7,645,430 and 16,424,176

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Solution

The third proportional to 7,645,430 and 16,424,176 is: 35,282,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645,430 : 16,424,176 = 16,424,176 : x
  2. Step 2: Convert to fraction form
    7,645,430/16,424,176 = 16,424,176/x
  3. Step 3: Cross multiply
    7,645,430x = 16,424,176 × 16,424,176
  4. Step 4: Simplify right side
    7,645,430x = 269,753,557,278,976
  5. Step 5: Solve for x
    x = 269,753,557,278,976/7,645,430
  6. Step 6: Final answer
    x = 35,282,980.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.