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Finding the Third Proportional to 20,152,068,030 and 43,729,581,672

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Solution

The third proportional to 20,152,068,030 and 43,729,581,672 is: 94,892,311,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152,068,030 : 43,729,581,672 = 43,729,581,672 : x
  2. Step 2: Convert to fraction form
    20,152,068,030/43,729,581,672 = 43,729,581,672/x
  3. Step 3: Cross multiply
    20,152,068,030x = 43,729,581,672 × 43,729,581,672
  4. Step 4: Simplify right side
    20,152,068,030x = 1,912,276,313,208,118,312,960
  5. Step 5: Solve for x
    x = 1,912,276,313,208,118,312,960/20,152,068,030
  6. Step 6: Final answer
    x = 94,892,311,318.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.