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Finding the Third Proportional to 16,486,009.50 and 25,218,534

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Solution

The third proportional to 16,486,009.50 and 25,218,534 is: 38,576,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486,009.50 : 25,218,534 = 25,218,534 : x
  2. Step 2: Convert to fraction form
    16,486,009.50/25,218,534 = 25,218,534/x
  3. Step 3: Cross multiply
    16,486,009.50x = 25,218,534 × 25,218,534
  4. Step 4: Simplify right side
    16,486,009.50x = 635,974,457,109,156
  5. Step 5: Solve for x
    x = 635,974,457,109,156/16,486,009.50
  6. Step 6: Final answer
    x = 38,576,615.95

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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.