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Finding the Third Proportional to 7,901,070,841 and 11,415,682,946

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Solution

The third proportional to 7,901,070,841 and 11,415,682,946 is: 16,493,690,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901,070,841 : 11,415,682,946 = 11,415,682,946 : x
  2. Step 2: Convert to fraction form
    7,901,070,841/11,415,682,946 = 11,415,682,946/x
  3. Step 3: Cross multiply
    7,901,070,841x = 11,415,682,946 × 11,415,682,946
  4. Step 4: Simplify right side
    7,901,070,841x = 130,317,817,123,595,239,424
  5. Step 5: Solve for x
    x = 130,317,817,123,595,239,424/7,901,070,841
  6. Step 6: Final answer
    x = 16,493,690,506.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.