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Finding the Third Proportional to 24,404,226 and 32,388,022.50

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Solution

The third proportional to 24,404,226 and 32,388,022.50 is: 42,983,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404,226 : 32,388,022.50 = 32,388,022.50 : x
  2. Step 2: Convert to fraction form
    24,404,226/32,388,022.50 = 32,388,022.50/x
  3. Step 3: Cross multiply
    24,404,226x = 32,388,022.50 × 32,388,022.50
  4. Step 4: Simplify right side
    24,404,226x = 1,048,984,001,460,506.25
  5. Step 5: Solve for x
    x = 1,048,984,001,460,506.25/24,404,226
  6. Step 6: Final answer
    x = 42,983,702.96

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.