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Finding the Third Proportional to 144,449,406 and 312,459,444

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Solution

The third proportional to 144,449,406 and 312,459,444 is: 675,883,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,449,406 : 312,459,444 = 312,459,444 : x
  2. Step 2: Convert to fraction form
    144,449,406/312,459,444 = 312,459,444/x
  3. Step 3: Cross multiply
    144,449,406x = 312,459,444 × 312,459,444
  4. Step 4: Simplify right side
    144,449,406x = 97,630,904,144,789,136
  5. Step 5: Solve for x
    x = 97,630,904,144,789,136/144,449,406
  6. Step 6: Final answer
    x = 675,883,043.40

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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.