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Finding the Third Proportional to 2,363,367 and 5,697,817.50

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Solution

The third proportional to 2,363,367 and 5,697,817.50 is: 13,736,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,367 : 5,697,817.50 = 5,697,817.50 : x
  2. Step 2: Convert to fraction form
    2,363,367/5,697,817.50 = 5,697,817.50/x
  3. Step 3: Cross multiply
    2,363,367x = 5,697,817.50 × 5,697,817.50
  4. Step 4: Simplify right side
    2,363,367x = 32,465,124,263,306.25
  5. Step 5: Solve for x
    x = 32,465,124,263,306.25/2,363,367
  6. Step 6: Final answer
    x = 13,736,810.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.