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Finding the Third Proportional to 45,617,524.31 and 94,468,596.47

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Solution

The third proportional to 45,617,524.31 and 94,468,596.47 is: 195,633,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,617,524.31 : 94,468,596.47 = 94,468,596.47 : x
  2. Step 2: Convert to fraction form
    45,617,524.31/94,468,596.47 = 94,468,596.47/x
  3. Step 3: Cross multiply
    45,617,524.31x = 94,468,596.47 × 94,468,596.47
  4. Step 4: Simplify right side
    45,617,524.31x = 8,924,315,718,775,525
  5. Step 5: Solve for x
    x = 8,924,315,718,775,525/45,617,524.31
  6. Step 6: Final answer
    x = 195,633,495.09

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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.