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Finding the Third Proportional to 14,584,224 and 31,792,704

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Solution

The third proportional to 14,584,224 and 31,792,704 is: 69,306,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584,224 : 31,792,704 = 31,792,704 : x
  2. Step 2: Convert to fraction form
    14,584,224/31,792,704 = 31,792,704/x
  3. Step 3: Cross multiply
    14,584,224x = 31,792,704 × 31,792,704
  4. Step 4: Simplify right side
    14,584,224x = 1,010,776,027,631,616
  5. Step 5: Solve for x
    x = 1,010,776,027,631,616/14,584,224
  6. Step 6: Final answer
    x = 69,306,123.36

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