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Finding the Third Proportional to 7,285,869 and 15,693,047

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Solution

The third proportional to 7,285,869 and 15,693,047 is: 33,801,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,869 : 15,693,047 = 15,693,047 : x
  2. Step 2: Convert to fraction form
    7,285,869/15,693,047 = 15,693,047/x
  3. Step 3: Cross multiply
    7,285,869x = 15,693,047 × 15,693,047
  4. Step 4: Simplify right side
    7,285,869x = 246,271,724,144,209
  5. Step 5: Solve for x
    x = 246,271,724,144,209/7,285,869
  6. Step 6: Final answer
    x = 33,801,283.57

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Why These Related Problems?

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