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Finding the Third Proportional to 10,504,406.50 and 22,849,295

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Solution

The third proportional to 10,504,406.50 and 22,849,295 is: 49,702,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504,406.50 : 22,849,295 = 22,849,295 : x
  2. Step 2: Convert to fraction form
    10,504,406.50/22,849,295 = 22,849,295/x
  3. Step 3: Cross multiply
    10,504,406.50x = 22,849,295 × 22,849,295
  4. Step 4: Simplify right side
    10,504,406.50x = 522,090,281,997,025
  5. Step 5: Solve for x
    x = 522,090,281,997,025/10,504,406.50
  6. Step 6: Final answer
    x = 49,702,025.72

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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.