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Finding the Third Proportional to 5,380,685,830 and 7,573,889,521

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Solution

The third proportional to 5,380,685,830 and 7,573,889,521 is: 10,661,057,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,685,830 : 7,573,889,521 = 7,573,889,521 : x
  2. Step 2: Convert to fraction form
    5,380,685,830/7,573,889,521 = 7,573,889,521/x
  3. Step 3: Cross multiply
    5,380,685,830x = 7,573,889,521 × 7,573,889,521
  4. Step 4: Simplify right side
    5,380,685,830x = 57,363,802,476,313,608,192
  5. Step 5: Solve for x
    x = 57,363,802,476,313,608,192/5,380,685,830
  6. Step 6: Final answer
    x = 10,661,057,770.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.