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Finding the Third Proportional to 10,699,230.94 and 23,368,327.03

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Solution

The third proportional to 10,699,230.94 and 23,368,327.03 is: 51,039,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699,230.94 : 23,368,327.03 = 23,368,327.03 : x
  2. Step 2: Convert to fraction form
    10,699,230.94/23,368,327.03 = 23,368,327.03/x
  3. Step 3: Cross multiply
    10,699,230.94x = 23,368,327.03 × 23,368,327.03
  4. Step 4: Simplify right side
    10,699,230.94x = 546,078,708,239,449.44
  5. Step 5: Solve for x
    x = 546,078,708,239,449.44/10,699,230.94
  6. Step 6: Final answer
    x = 51,039,061.73

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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.