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Finding the Third Proportional to 7,902,686,015 and 17,064,923,124.75

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Solution

The third proportional to 7,902,686,015 and 17,064,923,124.75 is: 36,849,699,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902,686,015 : 17,064,923,124.75 = 17,064,923,124.75 : x
  2. Step 2: Convert to fraction form
    7,902,686,015/17,064,923,124.75 = 17,064,923,124.75/x
  3. Step 3: Cross multiply
    7,902,686,015x = 17,064,923,124.75 × 17,064,923,124.75
  4. Step 4: Simplify right side
    7,902,686,015x = 291,211,601,253,627,297,792
  5. Step 5: Solve for x
    x = 291,211,601,253,627,297,792/7,902,686,015
  6. Step 6: Final answer
    x = 36,849,699,039.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.