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Finding the Third Proportional to 863,565,033.38 and 1,262,960,373.38

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Solution

The third proportional to 863,565,033.38 and 1,262,960,373.38 is: 1,847,074,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,565,033.38 : 1,262,960,373.38 = 1,262,960,373.38 : x
  2. Step 2: Convert to fraction form
    863,565,033.38/1,262,960,373.38 = 1,262,960,373.38/x
  3. Step 3: Cross multiply
    863,565,033.38x = 1,262,960,373.38 × 1,262,960,373.38
  4. Step 4: Simplify right side
    863,565,033.38x = 1,595,068,904,715,519,488
  5. Step 5: Solve for x
    x = 1,595,068,904,715,519,488/863,565,033.38
  6. Step 6: Final answer
    x = 1,847,074,444.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.