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Finding the Third Proportional to 2,652,841.13 and 5,683,896.56

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Solution

The third proportional to 2,652,841.13 and 5,683,896.56 is: 12,178,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,841.13 : 5,683,896.56 = 5,683,896.56 : x
  2. Step 2: Convert to fraction form
    2,652,841.13/5,683,896.56 = 5,683,896.56/x
  3. Step 3: Cross multiply
    2,652,841.13x = 5,683,896.56 × 5,683,896.56
  4. Step 4: Simplify right side
    2,652,841.13x = 32,306,680,133,199.32
  5. Step 5: Solve for x
    x = 32,306,680,133,199.32/2,652,841.13
  6. Step 6: Final answer
    x = 12,178,143.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.