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Finding the Third Proportional to 123,306,735 and 268,320,336

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Solution

The third proportional to 123,306,735 and 268,320,336 is: 583,875,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,306,735 : 268,320,336 = 268,320,336 : x
  2. Step 2: Convert to fraction form
    123,306,735/268,320,336 = 268,320,336/x
  3. Step 3: Cross multiply
    123,306,735x = 268,320,336 × 268,320,336
  4. Step 4: Simplify right side
    123,306,735x = 71,995,802,711,152,896
  5. Step 5: Solve for x
    x = 71,995,802,711,152,896/123,306,735
  6. Step 6: Final answer
    x = 583,875,671.60

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