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Finding the Third Proportional to 11,355,313.50 and 24,909,043.50

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Solution

The third proportional to 11,355,313.50 and 24,909,043.50 is: 54,640,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355,313.50 : 24,909,043.50 = 24,909,043.50 : x
  2. Step 2: Convert to fraction form
    11,355,313.50/24,909,043.50 = 24,909,043.50/x
  3. Step 3: Cross multiply
    11,355,313.50x = 24,909,043.50 × 24,909,043.50
  4. Step 4: Simplify right side
    11,355,313.50x = 620,460,448,084,892.25
  5. Step 5: Solve for x
    x = 620,460,448,084,892.25/11,355,313.50
  6. Step 6: Final answer
    x = 54,640,538.82

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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.