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Finding the Third Proportional to 32,083,989.50 and 69,282,411.50

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Solution

The third proportional to 32,083,989.50 and 69,282,411.50 is: 149,608,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,989.50 : 69,282,411.50 = 69,282,411.50 : x
  2. Step 2: Convert to fraction form
    32,083,989.50/69,282,411.50 = 69,282,411.50/x
  3. Step 3: Cross multiply
    32,083,989.50x = 69,282,411.50 × 69,282,411.50
  4. Step 4: Simplify right side
    32,083,989.50x = 4,800,052,543,255,332
  5. Step 5: Solve for x
    x = 4,800,052,543,255,332/32,083,989.50
  6. Step 6: Final answer
    x = 149,608,967.53

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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.