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Finding the Third Proportional to 3,635,584,902 and 7,951,412,988

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Solution

The third proportional to 3,635,584,902 and 7,951,412,988 is: 17,390,590,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635,584,902 : 7,951,412,988 = 7,951,412,988 : x
  2. Step 2: Convert to fraction form
    3,635,584,902/7,951,412,988 = 7,951,412,988/x
  3. Step 3: Cross multiply
    3,635,584,902x = 7,951,412,988 × 7,951,412,988
  4. Step 4: Simplify right side
    3,635,584,902x = 63,224,968,505,735,086,080
  5. Step 5: Solve for x
    x = 63,224,968,505,735,086,080/3,635,584,902
  6. Step 6: Final answer
    x = 17,390,590,567.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.