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Finding the Third Proportional to 30,845,971,939 and 67,168,012,954

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Solution

The third proportional to 30,845,971,939 and 67,168,012,954 is: 146,260,327,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845,971,939 : 67,168,012,954 = 67,168,012,954 : x
  2. Step 2: Convert to fraction form
    30,845,971,939/67,168,012,954 = 67,168,012,954/x
  3. Step 3: Cross multiply
    30,845,971,939x = 67,168,012,954 × 67,168,012,954
  4. Step 4: Simplify right side
    30,845,971,939x = 4,511,541,964,188,711,649,280
  5. Step 5: Solve for x
    x = 4,511,541,964,188,711,649,280/30,845,971,939
  6. Step 6: Final answer
    x = 146,260,327,705.37

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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.