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Finding the Third Proportional to 9,189,943 and 20,050,997

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Solution

The third proportional to 9,189,943 and 20,050,997 is: 43,748,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189,943 : 20,050,997 = 20,050,997 : x
  2. Step 2: Convert to fraction form
    9,189,943/20,050,997 = 20,050,997/x
  3. Step 3: Cross multiply
    9,189,943x = 20,050,997 × 20,050,997
  4. Step 4: Simplify right side
    9,189,943x = 402,042,480,694,009
  5. Step 5: Solve for x
    x = 402,042,480,694,009/9,189,943
  6. Step 6: Final answer
    x = 43,748,092.96

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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.