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Finding the Third Proportional to 938,532,512.81 and 1,419,877,977.75

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Solution

The third proportional to 938,532,512.81 and 1,419,877,977.75 is: 2,148,091,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,532,512.81 : 1,419,877,977.75 = 1,419,877,977.75 : x
  2. Step 2: Convert to fraction form
    938,532,512.81/1,419,877,977.75 = 1,419,877,977.75/x
  3. Step 3: Cross multiply
    938,532,512.81x = 1,419,877,977.75 × 1,419,877,977.75
  4. Step 4: Simplify right side
    938,532,512.81x = 2,016,053,471,699,429,376
  5. Step 5: Solve for x
    x = 2,016,053,471,699,429,376/938,532,512.81
  6. Step 6: Final answer
    x = 2,148,091,242.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.