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Finding the Third Proportional to 10,451,693.25 and 22,505,090.63

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Solution

The third proportional to 10,451,693.25 and 22,505,090.63 is: 48,459,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,693.25 : 22,505,090.63 = 22,505,090.63 : x
  2. Step 2: Convert to fraction form
    10,451,693.25/22,505,090.63 = 22,505,090.63/x
  3. Step 3: Cross multiply
    10,451,693.25x = 22,505,090.63 × 22,505,090.63
  4. Step 4: Simplify right side
    10,451,693.25x = 506,479,104,039,462.88
  5. Step 5: Solve for x
    x = 506,479,104,039,462.88/10,451,693.25
  6. Step 6: Final answer
    x = 48,459,047.92

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