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Finding the Third Proportional to 547,608,332,015 and 1,170,578,724,477

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Solution

The third proportional to 547,608,332,015 and 1,170,578,724,477 is: 2,502,252,924,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,608,332,015 : 1,170,578,724,477 = 1,170,578,724,477 : x
  2. Step 2: Convert to fraction form
    547,608,332,015/1,170,578,724,477 = 1,170,578,724,477/x
  3. Step 3: Cross multiply
    547,608,332,015x = 1,170,578,724,477 × 1,170,578,724,477
  4. Step 4: Simplify right side
    547,608,332,015x = 1,370,254,550,198,200,192,466,944
  5. Step 5: Solve for x
    x = 1,370,254,550,198,200,192,466,944/547,608,332,015
  6. Step 6: Final answer
    x = 2,502,252,924,377.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.