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Finding the Third Proportional to 144,449,432 and 312,459,496

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Solution

The third proportional to 144,449,432 and 312,459,496 is: 675,883,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,449,432 : 312,459,496 = 312,459,496 : x
  2. Step 2: Convert to fraction form
    144,449,432/312,459,496 = 312,459,496/x
  3. Step 3: Cross multiply
    144,449,432x = 312,459,496 × 312,459,496
  4. Step 4: Simplify right side
    144,449,432x = 97,630,936,640,574,016
  5. Step 5: Solve for x
    x = 97,630,936,640,574,016/144,449,432
  6. Step 6: Final answer
    x = 675,883,146.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.