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Finding the Third Proportional to 8,009,012.25 and 16,585,807.50

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Solution

The third proportional to 8,009,012.25 and 16,585,807.50 is: 34,347,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009,012.25 : 16,585,807.50 = 16,585,807.50 : x
  2. Step 2: Convert to fraction form
    8,009,012.25/16,585,807.50 = 16,585,807.50/x
  3. Step 3: Cross multiply
    8,009,012.25x = 16,585,807.50 × 16,585,807.50
  4. Step 4: Simplify right side
    8,009,012.25x = 275,089,010,427,056.25
  5. Step 5: Solve for x
    x = 275,089,010,427,056.25/8,009,012.25
  6. Step 6: Final answer
    x = 34,347,432.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.