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Finding the Third Proportional to 466,531,119 and 1,002,296,713.50

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Solution

The third proportional to 466,531,119 and 1,002,296,713.50 is: 2,153,336,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,531,119 : 1,002,296,713.50 = 1,002,296,713.50 : x
  2. Step 2: Convert to fraction form
    466,531,119/1,002,296,713.50 = 1,002,296,713.50/x
  3. Step 3: Cross multiply
    466,531,119x = 1,002,296,713.50 × 1,002,296,713.50
  4. Step 4: Simplify right side
    466,531,119x = 1,004,598,701,892,901,120
  5. Step 5: Solve for x
    x = 1,004,598,701,892,901,120/466,531,119
  6. Step 6: Final answer
    x = 2,153,336,960.77

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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.