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Finding the Third Proportional to 5,331,784.50 and 7,807,880.25

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Solution

The third proportional to 5,331,784.50 and 7,807,880.25 is: 11,433,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331,784.50 : 7,807,880.25 = 7,807,880.25 : x
  2. Step 2: Convert to fraction form
    5,331,784.50/7,807,880.25 = 7,807,880.25/x
  3. Step 3: Cross multiply
    5,331,784.50x = 7,807,880.25 × 7,807,880.25
  4. Step 4: Simplify right side
    5,331,784.50x = 60,962,993,998,340.06
  5. Step 5: Solve for x
    x = 60,962,993,998,340.06/5,331,784.50
  6. Step 6: Final answer
    x = 11,433,881.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.