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Finding the Third Proportional to 3,252,812.34 and 6,871,825.69

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Solution

The third proportional to 3,252,812.34 and 6,871,825.69 is: 14,517,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252,812.34 : 6,871,825.69 = 6,871,825.69 : x
  2. Step 2: Convert to fraction form
    3,252,812.34/6,871,825.69 = 6,871,825.69/x
  3. Step 3: Cross multiply
    3,252,812.34x = 6,871,825.69 × 6,871,825.69
  4. Step 4: Simplify right side
    3,252,812.34x = 47,221,988,279,384.84
  5. Step 5: Solve for x
    x = 47,221,988,279,384.84/3,252,812.34
  6. Step 6: Final answer
    x = 14,517,280.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.