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Finding the Third Proportional to 14,458,284.50 and 31,297,118

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Solution

The third proportional to 14,458,284.50 and 31,297,118 is: 67,747,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458,284.50 : 31,297,118 = 31,297,118 : x
  2. Step 2: Convert to fraction form
    14,458,284.50/31,297,118 = 31,297,118/x
  3. Step 3: Cross multiply
    14,458,284.50x = 31,297,118 × 31,297,118
  4. Step 4: Simplify right side
    14,458,284.50x = 979,509,595,105,924
  5. Step 5: Solve for x
    x = 979,509,595,105,924/14,458,284.50
  6. Step 6: Final answer
    x = 67,747,290.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.