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Finding the Third Proportional to 2,871,413,984 and 6,232,885,472

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Solution

The third proportional to 2,871,413,984 and 6,232,885,472 is: 13,529,522,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,413,984 : 6,232,885,472 = 6,232,885,472 : x
  2. Step 2: Convert to fraction form
    2,871,413,984/6,232,885,472 = 6,232,885,472/x
  3. Step 3: Cross multiply
    2,871,413,984x = 6,232,885,472 × 6,232,885,472
  4. Step 4: Simplify right side
    2,871,413,984x = 38,848,861,307,068,661,760
  5. Step 5: Solve for x
    x = 38,848,861,307,068,661,760/2,871,413,984
  6. Step 6: Final answer
    x = 13,529,522,919.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.