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Finding the Third Proportional to 13,799,575,456 and 30,016,978,920

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Solution

The third proportional to 13,799,575,456 and 30,016,978,920 is: 65,293,242,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799,575,456 : 30,016,978,920 = 30,016,978,920 : x
  2. Step 2: Convert to fraction form
    13,799,575,456/30,016,978,920 = 30,016,978,920/x
  3. Step 3: Cross multiply
    13,799,575,456x = 30,016,978,920 × 30,016,978,920
  4. Step 4: Simplify right side
    13,799,575,456x = 901,019,023,483,724,365,824
  5. Step 5: Solve for x
    x = 901,019,023,483,724,365,824/13,799,575,456
  6. Step 6: Final answer
    x = 65,293,242,270.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.