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Finding the Third Proportional to 10,235,724.75 and 22,347,045

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Solution

The third proportional to 10,235,724.75 and 22,347,045 is: 48,788,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,724.75 : 22,347,045 = 22,347,045 : x
  2. Step 2: Convert to fraction form
    10,235,724.75/22,347,045 = 22,347,045/x
  3. Step 3: Cross multiply
    10,235,724.75x = 22,347,045 × 22,347,045
  4. Step 4: Simplify right side
    10,235,724.75x = 499,390,420,232,025
  5. Step 5: Solve for x
    x = 499,390,420,232,025/10,235,724.75
  6. Step 6: Final answer
    x = 48,788,965.36

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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.