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Finding the Third Proportional to 3,141,189 and 6,899,472

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Solution

The third proportional to 3,141,189 and 6,899,472 is: 15,154,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,189 : 6,899,472 = 6,899,472 : x
  2. Step 2: Convert to fraction form
    3,141,189/6,899,472 = 6,899,472/x
  3. Step 3: Cross multiply
    3,141,189x = 6,899,472 × 6,899,472
  4. Step 4: Simplify right side
    3,141,189x = 47,602,713,878,784
  5. Step 5: Solve for x
    x = 47,602,713,878,784/3,141,189
  6. Step 6: Final answer
    x = 15,154,361.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.