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Finding the Third Proportional to 11,264,278.50 and 24,226,762.50

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Solution

The third proportional to 11,264,278.50 and 24,226,762.50 is: 52,105,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264,278.50 : 24,226,762.50 = 24,226,762.50 : x
  2. Step 2: Convert to fraction form
    11,264,278.50/24,226,762.50 = 24,226,762.50/x
  3. Step 3: Cross multiply
    11,264,278.50x = 24,226,762.50 × 24,226,762.50
  4. Step 4: Simplify right side
    11,264,278.50x = 586,936,021,231,406.25
  5. Step 5: Solve for x
    x = 586,936,021,231,406.25/11,264,278.50
  6. Step 6: Final answer
    x = 52,105,957.89

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Why These Related Problems?

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