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Finding the Third Proportional to 5,380,685,833 and 7,573,889,525

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Solution

The third proportional to 5,380,685,833 and 7,573,889,525 is: 10,661,057,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,685,833 : 7,573,889,525 = 7,573,889,525 : x
  2. Step 2: Convert to fraction form
    5,380,685,833/7,573,889,525 = 7,573,889,525/x
  3. Step 3: Cross multiply
    5,380,685,833x = 7,573,889,525 × 7,573,889,525
  4. Step 4: Simplify right side
    5,380,685,833x = 57,363,802,536,904,728,576
  5. Step 5: Solve for x
    x = 57,363,802,536,904,728,576/5,380,685,833
  6. Step 6: Final answer
    x = 10,661,057,775.40

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Why These Related Problems?

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