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Finding the Third Proportional to 14,187,048 and 22,012,474.50

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Solution

The third proportional to 14,187,048 and 22,012,474.50 is: 34,154,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187,048 : 22,012,474.50 = 22,012,474.50 : x
  2. Step 2: Convert to fraction form
    14,187,048/22,012,474.50 = 22,012,474.50/x
  3. Step 3: Cross multiply
    14,187,048x = 22,012,474.50 × 22,012,474.50
  4. Step 4: Simplify right side
    14,187,048x = 484,549,033,613,150.25
  5. Step 5: Solve for x
    x = 484,549,033,613,150.25/14,187,048
  6. Step 6: Final answer
    x = 34,154,323.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.