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Finding the Third Proportional to 32,968,400 and 72,514,224

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Solution

The third proportional to 32,968,400 and 72,514,224 is: 159,495,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968,400 : 72,514,224 = 72,514,224 : x
  2. Step 2: Convert to fraction form
    32,968,400/72,514,224 = 72,514,224/x
  3. Step 3: Cross multiply
    32,968,400x = 72,514,224 × 72,514,224
  4. Step 4: Simplify right side
    32,968,400x = 5,258,312,682,322,176
  5. Step 5: Solve for x
    x = 5,258,312,682,322,176/32,968,400
  6. Step 6: Final answer
    x = 159,495,537.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.