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Finding the Third Proportional to 4,965,165 and 7,592,038.50

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Solution

The third proportional to 4,965,165 and 7,592,038.50 is: 11,608,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965,165 : 7,592,038.50 = 7,592,038.50 : x
  2. Step 2: Convert to fraction form
    4,965,165/7,592,038.50 = 7,592,038.50/x
  3. Step 3: Cross multiply
    4,965,165x = 7,592,038.50 × 7,592,038.50
  4. Step 4: Simplify right side
    4,965,165x = 57,639,048,585,482.25
  5. Step 5: Solve for x
    x = 57,639,048,585,482.25/4,965,165
  6. Step 6: Final answer
    x = 11,608,687.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.