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Finding the Third Proportional to 9,365,025 and 20,427,364.50

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Solution

The third proportional to 9,365,025 and 20,427,364.50 is: 44,556,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365,025 : 20,427,364.50 = 20,427,364.50 : x
  2. Step 2: Convert to fraction form
    9,365,025/20,427,364.50 = 20,427,364.50/x
  3. Step 3: Cross multiply
    9,365,025x = 20,427,364.50 × 20,427,364.50
  4. Step 4: Simplify right side
    9,365,025x = 417,277,220,415,860.25
  5. Step 5: Solve for x
    x = 417,277,220,415,860.25/9,365,025
  6. Step 6: Final answer
    x = 44,556,978.80

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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.