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Finding the Third Proportional to 5,160,424,080 and 7,968,766,800

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Solution

The third proportional to 5,160,424,080 and 7,968,766,800 is: 12,305,431,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160,424,080 : 7,968,766,800 = 7,968,766,800 : x
  2. Step 2: Convert to fraction form
    5,160,424,080/7,968,766,800 = 7,968,766,800/x
  3. Step 3: Cross multiply
    5,160,424,080x = 7,968,766,800 × 7,968,766,800
  4. Step 4: Simplify right side
    5,160,424,080x = 63,501,244,312,782,241,792
  5. Step 5: Solve for x
    x = 63,501,244,312,782,241,792/5,160,424,080
  6. Step 6: Final answer
    x = 12,305,431,361.52

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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.