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Finding the Third Proportional to 19,633,846.50 and 45,856,597.50

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Solution

The third proportional to 19,633,846.50 and 45,856,597.50 is: 107,102,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633,846.50 : 45,856,597.50 = 45,856,597.50 : x
  2. Step 2: Convert to fraction form
    19,633,846.50/45,856,597.50 = 45,856,597.50/x
  3. Step 3: Cross multiply
    19,633,846.50x = 45,856,597.50 × 45,856,597.50
  4. Step 4: Simplify right side
    19,633,846.50x = 2,102,827,534,277,006.25
  5. Step 5: Solve for x
    x = 2,102,827,534,277,006.25/19,633,846.50
  6. Step 6: Final answer
    x = 107,102,168.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.