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Finding the Third Proportional to 32,142,420.50 and 48,503,448.75

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Solution

The third proportional to 32,142,420.50 and 48,503,448.75 is: 73,192,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142,420.50 : 48,503,448.75 = 48,503,448.75 : x
  2. Step 2: Convert to fraction form
    32,142,420.50/48,503,448.75 = 48,503,448.75/x
  3. Step 3: Cross multiply
    32,142,420.50x = 48,503,448.75 × 48,503,448.75
  4. Step 4: Simplify right side
    32,142,420.50x = 2,352,584,540,643,876.50
  5. Step 5: Solve for x
    x = 2,352,584,540,643,876.50/32,142,420.50
  6. Step 6: Final answer
    x = 73,192,513.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.