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Finding the Third Proportional to 16,802,214 and 25,357,257

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Solution

The third proportional to 16,802,214 and 25,357,257 is: 38,268,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802,214 : 25,357,257 = 25,357,257 : x
  2. Step 2: Convert to fraction form
    16,802,214/25,357,257 = 25,357,257/x
  3. Step 3: Cross multiply
    16,802,214x = 25,357,257 × 25,357,257
  4. Step 4: Simplify right side
    16,802,214x = 642,990,482,564,049
  5. Step 5: Solve for x
    x = 642,990,482,564,049/16,802,214
  6. Step 6: Final answer
    x = 38,268,199.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.