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Finding the Third Proportional to 407,457,544.50 and 883,819,671.75

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Solution

The third proportional to 407,457,544.50 and 883,819,671.75 is: 1,917,100,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457,544.50 : 883,819,671.75 = 883,819,671.75 : x
  2. Step 2: Convert to fraction form
    407,457,544.50/883,819,671.75 = 883,819,671.75/x
  3. Step 3: Cross multiply
    407,457,544.50x = 883,819,671.75 × 883,819,671.75
  4. Step 4: Simplify right side
    407,457,544.50x = 781,137,212,172,277,760
  5. Step 5: Solve for x
    x = 781,137,212,172,277,760/407,457,544.50
  6. Step 6: Final answer
    x = 1,917,100,867.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.