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Finding the Third Proportional to 5,757,500,256 and 8,845,762,800

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Solution

The third proportional to 5,757,500,256 and 8,845,762,800 is: 13,590,536,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757,500,256 : 8,845,762,800 = 8,845,762,800 : x
  2. Step 2: Convert to fraction form
    5,757,500,256/8,845,762,800 = 8,845,762,800/x
  3. Step 3: Cross multiply
    5,757,500,256x = 8,845,762,800 × 8,845,762,800
  4. Step 4: Simplify right side
    5,757,500,256x = 78,247,519,513,863,847,936
  5. Step 5: Solve for x
    x = 78,247,519,513,863,847,936/5,757,500,256
  6. Step 6: Final answer
    x = 13,590,536,870.98

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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.