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Finding the Third Proportional to 11,235,832 and 24,552,047.50

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Solution

The third proportional to 11,235,832 and 24,552,047.50 is: 53,650,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235,832 : 24,552,047.50 = 24,552,047.50 : x
  2. Step 2: Convert to fraction form
    11,235,832/24,552,047.50 = 24,552,047.50/x
  3. Step 3: Cross multiply
    11,235,832x = 24,552,047.50 × 24,552,047.50
  4. Step 4: Simplify right side
    11,235,832x = 602,803,036,442,256.25
  5. Step 5: Solve for x
    x = 602,803,036,442,256.25/11,235,832
  6. Step 6: Final answer
    x = 53,650,057.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.