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Finding the Third Proportional to 11,502,094.50 and 24,619,936.50

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Solution

The third proportional to 11,502,094.50 and 24,619,936.50 is: 52,698,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502,094.50 : 24,619,936.50 = 24,619,936.50 : x
  2. Step 2: Convert to fraction form
    11,502,094.50/24,619,936.50 = 24,619,936.50/x
  3. Step 3: Cross multiply
    11,502,094.50x = 24,619,936.50 × 24,619,936.50
  4. Step 4: Simplify right side
    11,502,094.50x = 606,141,273,264,032.25
  5. Step 5: Solve for x
    x = 606,141,273,264,032.25/11,502,094.50
  6. Step 6: Final answer
    x = 52,698,338.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.