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Finding the Third Proportional to 31,964,442.75 and 69,036,340.50

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Solution

The third proportional to 31,964,442.75 and 69,036,340.50 is: 149,103,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964,442.75 : 69,036,340.50 = 69,036,340.50 : x
  2. Step 2: Convert to fraction form
    31,964,442.75/69,036,340.50 = 69,036,340.50/x
  3. Step 3: Cross multiply
    31,964,442.75x = 69,036,340.50 × 69,036,340.50
  4. Step 4: Simplify right side
    31,964,442.75x = 4,766,016,309,631,940
  5. Step 5: Solve for x
    x = 4,766,016,309,631,940/31,964,442.75
  6. Step 6: Final answer
    x = 149,103,688.34

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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.