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Finding the Third Proportional to 590,829,531.75 and 1,367,663,413.50

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Solution

The third proportional to 590,829,531.75 and 1,367,663,413.50 is: 3,165,893,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,829,531.75 : 1,367,663,413.50 = 1,367,663,413.50 : x
  2. Step 2: Convert to fraction form
    590,829,531.75/1,367,663,413.50 = 1,367,663,413.50/x
  3. Step 3: Cross multiply
    590,829,531.75x = 1,367,663,413.50 × 1,367,663,413.50
  4. Step 4: Simplify right side
    590,829,531.75x = 1,870,503,212,626,471,936
  5. Step 5: Solve for x
    x = 1,870,503,212,626,471,936/590,829,531.75
  6. Step 6: Final answer
    x = 3,165,893,226.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.