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Finding the Third Proportional to 123,672,536 and 268,655,200

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Solution

The third proportional to 123,672,536 and 268,655,200 is: 583,602,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,672,536 : 268,655,200 = 268,655,200 : x
  2. Step 2: Convert to fraction form
    123,672,536/268,655,200 = 268,655,200/x
  3. Step 3: Cross multiply
    123,672,536x = 268,655,200 × 268,655,200
  4. Step 4: Simplify right side
    123,672,536x = 72,175,616,487,040,000
  5. Step 5: Solve for x
    x = 72,175,616,487,040,000/123,672,536
  6. Step 6: Final answer
    x = 583,602,623.68

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