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Finding the Third Proportional to 16,109,894 and 24,398,823

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Solution

The third proportional to 16,109,894 and 24,398,823 is: 36,952,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109,894 : 24,398,823 = 24,398,823 : x
  2. Step 2: Convert to fraction form
    16,109,894/24,398,823 = 24,398,823/x
  3. Step 3: Cross multiply
    16,109,894x = 24,398,823 × 24,398,823
  4. Step 4: Simplify right side
    16,109,894x = 595,302,563,785,329
  5. Step 5: Solve for x
    x = 595,302,563,785,329/16,109,894
  6. Step 6: Final answer
    x = 36,952,605.88

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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.