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Finding the Third Proportional to 15,676,960 and 31,983,767

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Solution

The third proportional to 15,676,960 and 31,983,767 is: 65,252,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676,960 : 31,983,767 = 31,983,767 : x
  2. Step 2: Convert to fraction form
    15,676,960/31,983,767 = 31,983,767/x
  3. Step 3: Cross multiply
    15,676,960x = 31,983,767 × 31,983,767
  4. Step 4: Simplify right side
    15,676,960x = 1,022,961,351,510,289
  5. Step 5: Solve for x
    x = 1,022,961,351,510,289/15,676,960
  6. Step 6: Final answer
    x = 65,252,533.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.