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Finding the Third Proportional to 381,237,611 and 832,389,562

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Solution

The third proportional to 381,237,611 and 832,389,562 is: 1,817,429,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,237,611 : 832,389,562 = 832,389,562 : x
  2. Step 2: Convert to fraction form
    381,237,611/832,389,562 = 832,389,562/x
  3. Step 3: Cross multiply
    381,237,611x = 832,389,562 × 832,389,562
  4. Step 4: Simplify right side
    381,237,611x = 692,872,382,926,551,808
  5. Step 5: Solve for x
    x = 692,872,382,926,551,808/381,237,611
  6. Step 6: Final answer
    x = 1,817,429,243.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.