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Finding the Third Proportional to 5,757,500,007 and 8,845,762,431

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Solution

The third proportional to 5,757,500,007 and 8,845,762,431 is: 13,590,536,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757,500,007 : 8,845,762,431 = 8,845,762,431 : x
  2. Step 2: Convert to fraction form
    5,757,500,007/8,845,762,431 = 8,845,762,431/x
  3. Step 3: Cross multiply
    5,757,500,007x = 8,845,762,431 × 8,845,762,431
  4. Step 4: Simplify right side
    5,757,500,007x = 78,247,512,985,691,029,504
  5. Step 5: Solve for x
    x = 78,247,512,985,691,029,504/5,757,500,007
  6. Step 6: Final answer
    x = 13,590,536,324.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.