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Finding the Third Proportional to 893,550,703.50 and 1,947,990,804.19

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Solution

The third proportional to 893,550,703.50 and 1,947,990,804.19 is: 4,246,729,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,550,703.50 : 1,947,990,804.19 = 1,947,990,804.19 : x
  2. Step 2: Convert to fraction form
    893,550,703.50/1,947,990,804.19 = 1,947,990,804.19/x
  3. Step 3: Cross multiply
    893,550,703.50x = 1,947,990,804.19 × 1,947,990,804.19
  4. Step 4: Simplify right side
    893,550,703.50x = 3,794,668,173,199,063,040
  5. Step 5: Solve for x
    x = 3,794,668,173,199,063,040/893,550,703.50
  6. Step 6: Final answer
    x = 4,246,729,545.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.