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Finding the Third Proportional to 4,657,172 and 10,022,584

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Solution

The third proportional to 4,657,172 and 10,022,584 is: 21,569,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,172 : 10,022,584 = 10,022,584 : x
  2. Step 2: Convert to fraction form
    4,657,172/10,022,584 = 10,022,584/x
  3. Step 3: Cross multiply
    4,657,172x = 10,022,584 × 10,022,584
  4. Step 4: Simplify right side
    4,657,172x = 100,452,190,037,056
  5. Step 5: Solve for x
    x = 100,452,190,037,056/4,657,172
  6. Step 6: Final answer
    x = 21,569,353.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.