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Finding the Third Proportional to 938,532,524.63 and 1,419,877,994.63

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Solution

The third proportional to 938,532,524.63 and 1,419,877,994.63 is: 2,148,091,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,532,524.63 : 1,419,877,994.63 = 1,419,877,994.63 : x
  2. Step 2: Convert to fraction form
    938,532,524.63/1,419,877,994.63 = 1,419,877,994.63/x
  3. Step 3: Cross multiply
    938,532,524.63x = 1,419,877,994.63 × 1,419,877,994.63
  4. Step 4: Simplify right side
    938,532,524.63x = 2,016,053,519,620,311,552
  5. Step 5: Solve for x
    x = 2,016,053,519,620,311,552/938,532,524.63
  6. Step 6: Final answer
    x = 2,148,091,266.66

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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.