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Finding the Third Proportional to 39,856,056 and 85,824,816

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Solution

The third proportional to 39,856,056 and 85,824,816 is: 184,812,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856,056 : 85,824,816 = 85,824,816 : x
  2. Step 2: Convert to fraction form
    39,856,056/85,824,816 = 85,824,816/x
  3. Step 3: Cross multiply
    39,856,056x = 85,824,816 × 85,824,816
  4. Step 4: Simplify right side
    39,856,056x = 7,365,899,041,433,856
  5. Step 5: Solve for x
    x = 7,365,899,041,433,856/39,856,056
  6. Step 6: Final answer
    x = 184,812,542.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.