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Finding the Third Proportional to 345,844,257 and 753,095,013

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Solution

The third proportional to 345,844,257 and 753,095,013 is: 1,639,906,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,844,257 : 753,095,013 = 753,095,013 : x
  2. Step 2: Convert to fraction form
    345,844,257/753,095,013 = 753,095,013/x
  3. Step 3: Cross multiply
    345,844,257x = 753,095,013 × 753,095,013
  4. Step 4: Simplify right side
    345,844,257x = 567,152,098,605,470,144
  5. Step 5: Solve for x
    x = 567,152,098,605,470,144/345,844,257
  6. Step 6: Final answer
    x = 1,639,906,076.58

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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.