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Finding the Third Proportional to 10,730,067 and 23,289,222

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Solution

The third proportional to 10,730,067 and 23,289,222 is: 50,548,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730,067 : 23,289,222 = 23,289,222 : x
  2. Step 2: Convert to fraction form
    10,730,067/23,289,222 = 23,289,222/x
  3. Step 3: Cross multiply
    10,730,067x = 23,289,222 × 23,289,222
  4. Step 4: Simplify right side
    10,730,067x = 542,387,861,365,284
  5. Step 5: Solve for x
    x = 542,387,861,365,284/10,730,067
  6. Step 6: Final answer
    x = 50,548,413.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.