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Finding the Third Proportional to 14,584,102.50 and 31,792,443

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Solution

The third proportional to 14,584,102.50 and 31,792,443 is: 69,305,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584,102.50 : 31,792,443 = 31,792,443 : x
  2. Step 2: Convert to fraction form
    14,584,102.50/31,792,443 = 31,792,443/x
  3. Step 3: Cross multiply
    14,584,102.50x = 31,792,443 × 31,792,443
  4. Step 4: Simplify right side
    14,584,102.50x = 1,010,759,431,908,249
  5. Step 5: Solve for x
    x = 1,010,759,431,908,249/14,584,102.50
  6. Step 6: Final answer
    x = 69,305,562.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.