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Finding the Third Proportional to 1,250,802,144 and 2,748,274,560

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Solution

The third proportional to 1,250,802,144 and 2,748,274,560 is: 6,038,535,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,802,144 : 2,748,274,560 = 2,748,274,560 : x
  2. Step 2: Convert to fraction form
    1,250,802,144/2,748,274,560 = 2,748,274,560/x
  3. Step 3: Cross multiply
    1,250,802,144x = 2,748,274,560 × 2,748,274,560
  4. Step 4: Simplify right side
    1,250,802,144x = 7,553,013,057,143,193,600
  5. Step 5: Solve for x
    x = 7,553,013,057,143,193,600/1,250,802,144
  6. Step 6: Final answer
    x = 6,038,535,425.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.