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Finding the Third Proportional to 17,746,669 and 28,571,671.50

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Solution

The third proportional to 17,746,669 and 28,571,671.50 is: 45,999,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746,669 : 28,571,671.50 = 28,571,671.50 : x
  2. Step 2: Convert to fraction form
    17,746,669/28,571,671.50 = 28,571,671.50/x
  3. Step 3: Cross multiply
    17,746,669x = 28,571,671.50 × 28,571,671.50
  4. Step 4: Simplify right side
    17,746,669x = 816,340,412,303,912.25
  5. Step 5: Solve for x
    x = 816,340,412,303,912.25/17,746,669
  6. Step 6: Final answer
    x = 45,999,641.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.