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Finding the Third Proportional to 10,451,712 and 22,505,127.75

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Solution

The third proportional to 10,451,712 and 22,505,127.75 is: 48,459,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,712 : 22,505,127.75 = 22,505,127.75 : x
  2. Step 2: Convert to fraction form
    10,451,712/22,505,127.75 = 22,505,127.75/x
  3. Step 3: Cross multiply
    10,451,712x = 22,505,127.75 × 22,505,127.75
  4. Step 4: Simplify right side
    10,451,712x = 506,480,775,043,820.06
  5. Step 5: Solve for x
    x = 506,480,775,043,820.06/10,451,712
  6. Step 6: Final answer
    x = 48,459,120.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.