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Finding the Third Proportional to 21,414,926 and 32,624,286

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Solution

The third proportional to 21,414,926 and 32,624,286 is: 49,701,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414,926 : 32,624,286 = 32,624,286 : x
  2. Step 2: Convert to fraction form
    21,414,926/32,624,286 = 32,624,286/x
  3. Step 3: Cross multiply
    21,414,926x = 32,624,286 × 32,624,286
  4. Step 4: Simplify right side
    21,414,926x = 1,064,344,037,009,796
  5. Step 5: Solve for x
    x = 1,064,344,037,009,796/21,414,926
  6. Step 6: Final answer
    x = 49,701,037.35

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Why These Related Problems?

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