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Finding the Third Proportional to 932,705,617.50 and 1,994,551,402.50

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Solution

The third proportional to 932,705,617.50 and 1,994,551,402.50 is: 4,265,263,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,705,617.50 : 1,994,551,402.50 = 1,994,551,402.50 : x
  2. Step 2: Convert to fraction form
    932,705,617.50/1,994,551,402.50 = 1,994,551,402.50/x
  3. Step 3: Cross multiply
    932,705,617.50x = 1,994,551,402.50 × 1,994,551,402.50
  4. Step 4: Simplify right side
    932,705,617.50x = 3,978,235,297,214,716,928
  5. Step 5: Solve for x
    x = 3,978,235,297,214,716,928/932,705,617.50
  6. Step 6: Final answer
    x = 4,265,263,575.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.