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Finding the Third Proportional to 32,359,486.50 and 69,324,795

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Solution

The third proportional to 32,359,486.50 and 69,324,795 is: 148,516,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359,486.50 : 69,324,795 = 69,324,795 : x
  2. Step 2: Convert to fraction form
    32,359,486.50/69,324,795 = 69,324,795/x
  3. Step 3: Cross multiply
    32,359,486.50x = 69,324,795 × 69,324,795
  4. Step 4: Simplify right side
    32,359,486.50x = 4,805,927,201,792,025
  5. Step 5: Solve for x
    x = 4,805,927,201,792,025/32,359,486.50
  6. Step 6: Final answer
    x = 148,516,794.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.