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Finding the Third Proportional to 6,485,670 and 15,012,756

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Solution

The third proportional to 6,485,670 and 15,012,756 is: 34,750,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,670 : 15,012,756 = 15,012,756 : x
  2. Step 2: Convert to fraction form
    6,485,670/15,012,756 = 15,012,756/x
  3. Step 3: Cross multiply
    6,485,670x = 15,012,756 × 15,012,756
  4. Step 4: Simplify right side
    6,485,670x = 225,382,842,715,536
  5. Step 5: Solve for x
    x = 225,382,842,715,536/6,485,670
  6. Step 6: Final answer
    x = 34,750,895.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.