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Finding the Third Proportional to 32,228,478,720 and 69,354,719,154

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Solution

The third proportional to 32,228,478,720 and 69,354,719,154 is: 149,249,274,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228,478,720 : 69,354,719,154 = 69,354,719,154 : x
  2. Step 2: Convert to fraction form
    32,228,478,720/69,354,719,154 = 69,354,719,154/x
  3. Step 3: Cross multiply
    32,228,478,720x = 69,354,719,154 × 69,354,719,154
  4. Step 4: Simplify right side
    32,228,478,720x = 4,810,077,068,930,214,526,976
  5. Step 5: Solve for x
    x = 4,810,077,068,930,214,526,976/32,228,478,720
  6. Step 6: Final answer
    x = 149,249,274,553.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.