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Finding the Third Proportional to 16,000,614 and 25,418,097

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Solution

The third proportional to 16,000,614 and 25,418,097 is: 40,378,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000,614 : 25,418,097 = 25,418,097 : x
  2. Step 2: Convert to fraction form
    16,000,614/25,418,097 = 25,418,097/x
  3. Step 3: Cross multiply
    16,000,614x = 25,418,097 × 25,418,097
  4. Step 4: Simplify right side
    16,000,614x = 646,079,655,101,409
  5. Step 5: Solve for x
    x = 646,079,655,101,409/16,000,614
  6. Step 6: Final answer
    x = 40,378,428.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.