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Finding the Third Proportional to 30,085,850 and 45,834,015

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Solution

The third proportional to 30,085,850 and 45,834,015 is: 69,825,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085,850 : 45,834,015 = 45,834,015 : x
  2. Step 2: Convert to fraction form
    30,085,850/45,834,015 = 45,834,015/x
  3. Step 3: Cross multiply
    30,085,850x = 45,834,015 × 45,834,015
  4. Step 4: Simplify right side
    30,085,850x = 2,100,756,931,020,225
  5. Step 5: Solve for x
    x = 2,100,756,931,020,225/30,085,850
  6. Step 6: Final answer
    x = 69,825,413.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.