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Finding the Third Proportional to 1,191,846,434.50 and 2,565,844,157

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Solution

The third proportional to 1,191,846,434.50 and 2,565,844,157 is: 5,523,829,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,846,434.50 : 2,565,844,157 = 2,565,844,157 : x
  2. Step 2: Convert to fraction form
    1,191,846,434.50/2,565,844,157 = 2,565,844,157/x
  3. Step 3: Cross multiply
    1,191,846,434.50x = 2,565,844,157 × 2,565,844,157
  4. Step 4: Simplify right side
    1,191,846,434.50x = 6,583,556,238,011,040,768
  5. Step 5: Solve for x
    x = 6,583,556,238,011,040,768/1,191,846,434.50
  6. Step 6: Final answer
    x = 5,523,829,284.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.