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Finding the Third Proportional to 32,175,238.50 and 41,312,133

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Solution

The third proportional to 32,175,238.50 and 41,312,133 is: 53,043,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175,238.50 : 41,312,133 = 41,312,133 : x
  2. Step 2: Convert to fraction form
    32,175,238.50/41,312,133 = 41,312,133/x
  3. Step 3: Cross multiply
    32,175,238.50x = 41,312,133 × 41,312,133
  4. Step 4: Simplify right side
    32,175,238.50x = 1,706,692,333,009,689
  5. Step 5: Solve for x
    x = 1,706,692,333,009,689/32,175,238.50
  6. Step 6: Final answer
    x = 53,043,657.56

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.