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Finding the Third Proportional to 6,826,033 and 14,665,101

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Solution

The third proportional to 6,826,033 and 14,665,101 is: 31,506,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,033 : 14,665,101 = 14,665,101 : x
  2. Step 2: Convert to fraction form
    6,826,033/14,665,101 = 14,665,101/x
  3. Step 3: Cross multiply
    6,826,033x = 14,665,101 × 14,665,101
  4. Step 4: Simplify right side
    6,826,033x = 215,065,187,340,201
  5. Step 5: Solve for x
    x = 215,065,187,340,201/6,826,033
  6. Step 6: Final answer
    x = 31,506,614.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.