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Finding the Third Proportional to 13,835,541 and 30,277,441.50

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Solution

The third proportional to 13,835,541 and 30,277,441.50 is: 66,258,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,541 : 30,277,441.50 = 30,277,441.50 : x
  2. Step 2: Convert to fraction form
    13,835,541/30,277,441.50 = 30,277,441.50/x
  3. Step 3: Cross multiply
    13,835,541x = 30,277,441.50 × 30,277,441.50
  4. Step 4: Simplify right side
    13,835,541x = 916,723,463,785,922.25
  5. Step 5: Solve for x
    x = 916,723,463,785,922.25/13,835,541
  6. Step 6: Final answer
    x = 66,258,591.82

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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.