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Finding the Third Proportional to 9,037,620 and 13,768,200

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Solution

The third proportional to 9,037,620 and 13,768,200 is: 20,974,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037,620 : 13,768,200 = 13,768,200 : x
  2. Step 2: Convert to fraction form
    9,037,620/13,768,200 = 13,768,200/x
  3. Step 3: Cross multiply
    9,037,620x = 13,768,200 × 13,768,200
  4. Step 4: Simplify right side
    9,037,620x = 189,563,331,240,000
  5. Step 5: Solve for x
    x = 189,563,331,240,000/9,037,620
  6. Step 6: Final answer
    x = 20,974,917.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.