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Finding the Third Proportional to 1,196,597,779.88 and 1,838,120,699.81

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Solution

The third proportional to 1,196,597,779.88 and 1,838,120,699.81 is: 2,823,578,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,597,779.88 : 1,838,120,699.81 = 1,838,120,699.81 : x
  2. Step 2: Convert to fraction form
    1,196,597,779.88/1,838,120,699.81 = 1,838,120,699.81/x
  3. Step 3: Cross multiply
    1,196,597,779.88x = 1,838,120,699.81 × 1,838,120,699.81
  4. Step 4: Simplify right side
    1,196,597,779.88x = 3,378,687,707,079,194,624
  5. Step 5: Solve for x
    x = 3,378,687,707,079,194,624/1,196,597,779.88
  6. Step 6: Final answer
    x = 2,823,578,452.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.