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Finding the Third Proportional to 15,674,868 and 24,211,216

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Solution

The third proportional to 15,674,868 and 24,211,216 is: 37,396,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674,868 : 24,211,216 = 24,211,216 : x
  2. Step 2: Convert to fraction form
    15,674,868/24,211,216 = 24,211,216/x
  3. Step 3: Cross multiply
    15,674,868x = 24,211,216 × 24,211,216
  4. Step 4: Simplify right side
    15,674,868x = 586,182,980,198,656
  5. Step 5: Solve for x
    x = 586,182,980,198,656/15,674,868
  6. Step 6: Final answer
    x = 37,396,358.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.