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Finding the Third Proportional to 618,165,597,692.70 and 935,198,853,132.65

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Solution

The third proportional to 618,165,597,692.70 and 935,198,853,132.65 is: 1,414,826,218,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,165,597,692.70 : 935,198,853,132.65 = 935,198,853,132.65 : x
  2. Step 2: Convert to fraction form
    618,165,597,692.70/935,198,853,132.65 = 935,198,853,132.65/x
  3. Step 3: Cross multiply
    618,165,597,692.70x = 935,198,853,132.65 × 935,198,853,132.65
  4. Step 4: Simplify right side
    618,165,597,692.70x = 874,596,894,900,623,901,720,576
  5. Step 5: Solve for x
    x = 874,596,894,900,623,901,720,576/618,165,597,692.70
  6. Step 6: Final answer
    x = 1,414,826,218,354.84

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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.